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Nonlocal Symmetries of the Camassa-Holm Type Equations 认领
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作者 Lu ZHAO Changzheng QU 《数学年刊:B辑英文版》 SCIE CSCD 2020年第3期407-418,共12页
A class of nonlocal symmetries of the Camassa-Holm type equations with bi-Hamiltonian structures, including the Camassa-Holm equation, the modified Camassa-Holm equation, Novikov equation and Degasperis-Procesi equati... A class of nonlocal symmetries of the Camassa-Holm type equations with bi-Hamiltonian structures, including the Camassa-Holm equation, the modified Camassa-Holm equation, Novikov equation and Degasperis-Procesi equation, is studied. The nonlocal symmetries are derived by looking for the kernels of the recursion operators and their inverse operators of these equations. To find the kernels of the recursion operators, the authors adapt the known factorization results for the recursion operators of the KdV, modified KdV, Sawada-Kotera and Kaup-Kupershmidt hierarchies, and the explicit Liouville correspondences between the KdV and Camassa-Holm hierarchies, the modified KdV and modified Camassa-Holm hierarchies, the Novikov and Sawada-Kotera hierarchies, as well as the Degasperis-Procesi and Kaup-Kupershmidt hierarchies. 展开更多
关键词 Nonlocal symmetry Recursion operator Camassa-Holm equation Modified Camassa-Holm equation Novikov equation Degasperis-Procesi equation Liouville correspondence
Solitary Wave Solutions of Some Nonlinear Physical Models Using Riccati Equation Approach 认领
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作者 Zaid ODIBAT Ahmed ALSAEDI Tasawar HAYAT 《应用数学学报:英文版》 SCIE CSCD 2020年第2期401-418,共18页
Riccati equation approach is used to look for exact travelling wave solutions of some nonlinear physical models.Solitary wave solutions are established for the modified KdV equation,the Boussinesq equation and the Zak... Riccati equation approach is used to look for exact travelling wave solutions of some nonlinear physical models.Solitary wave solutions are established for the modified KdV equation,the Boussinesq equation and the Zakharov-Kuznetsov equation.New generalized solitary wave solutions with some free parameters are derived.The obtained solutions,which includes some previously known solitary wave solutions and some new ones,are expressed by a composition of Riccati differential equation solutions followed by a polynomial.The employed approach,which is straightforward and concise,is expected to be further employed in obtaining new solitary wave solutions for nonlinear physical problems. 展开更多
关键词 solitary wave solution RICCATI EQUATION the modified KdV EQUATION the BOUSSINESQ EQUATION the Zakharov-Kuznetsov EQUATION
N1-soliton solution for Schr?dinger equation with competing weakly nonlocal and parabolic law nonlinearities 认领
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作者 Mohammed O Al-Amr Hadi Rezazadeh +1 位作者 Khalid K Ali Alper Korkmazki 《理论物理通讯:英文版》 SCIE CAS CSCD 2020年第6期129-135,共7页
The nonlocal nonlinear Schr?dinger equation(NNLSE)with competing weakly nonlocal nonlinearity and parabolic law nonlinearity is explored in the current work.A powerful integration tool,which is a modified form of the ... The nonlocal nonlinear Schr?dinger equation(NNLSE)with competing weakly nonlocal nonlinearity and parabolic law nonlinearity is explored in the current work.A powerful integration tool,which is a modified form of the simple equation method,is used to construct the dark and singular 1-soliton solutions.It is shown that the modified simple equation method provides an effective and powerful mathematical gadget for solving various types of NNLSEs. 展开更多
关键词 Schr?dinger equation SOLITON INTEGRABILITY modified simple equation method
Local Existence and Uniqueness Theorem for a Nonlinear Schr&#246;dinger Equation with Robin Inhomogeneous Boundary Condition 认领
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作者 Charles Bu 《应用数学与应用物理(英文)》 2020年第3期464-469,共6页
In recent years, a vast amount of work has been done on initial value problems for important nonlinear evolution equations like the nonlinear Schr&#246;dinger equation (NLS) and the Korteweg-de Vries equation (KdV... In recent years, a vast amount of work has been done on initial value problems for important nonlinear evolution equations like the nonlinear Schr&#246;dinger equation (NLS) and the Korteweg-de Vries equation (KdV). No comparable attention has been given to mixed initial-boundary value problems for these equations, i.e. forced nonlinear systems. But in many cases of physical interest, the mathematical model leads precisely to the forced problems. For example, the launching of solitary waves in a shallow water channel, the excitation of ion-acoustic solitons in a double plasma machine, etc. In this article, we present the PDE (Partial Differential Equation) method to study the following iut = uxx - g|u|pu, g ∈ R, p > 3, x?∈ Ω = [0,L], 0 ≤?t?u (x,0) = u0 (x) ∈?H2 (Ω) and Robin inhomogeneous boundary condition ux (0,t) + αu (0,t) = R1(t), t ≥ 0 and ux (L,t) + αu (L,t) = R2 (t), t ≥ 0 (here?α?is a real number). The equation is posed in a semi-infinite strip on a finite domain Ω. Such problems are called forced problems and have many applications in other fields like physics and chemistry. The main tool of PDE method is semi-group theory. We are able to prove local existence and uniqueness theorem for the nonlinear Schr&#246;dinger equation under initial condition and Robin inhomogeneous boundary condition. 展开更多
关键词 NONLINEAR SCHRODINGER Equation INHOMOGENEOUS Robin Boundary Condition Existence and UNIQUENESS CLASSICAL Solution
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Theoretical analysis on elastic buckling of nanobeams based on stress-driven nonlocal integral model 认领
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作者 Peng JIANG Hai QING Cunfa GAO 《应用数学和力学:英文版》 SCIE EI CSCD 2020年第2期207-232,共26页
Several studies indicate that Eringen's nonlocal model may lead to some inconsistencies for both Euler-Bernoulli and Timoshenko beams, such as cantilever beams subjected to an end point force and fixed-fixed beams... Several studies indicate that Eringen's nonlocal model may lead to some inconsistencies for both Euler-Bernoulli and Timoshenko beams, such as cantilever beams subjected to an end point force and fixed-fixed beams subjected a uniform distributed load. In this paper, the elastic buckling behavior of nanobeams, including both EulerBernoulli and Timoshenko beams, is investigated on the basis of a stress-driven nonlocal integral model. The constitutive equations are the Fredholm-type integral equations of the first kind, which can be transformed to the Volterra integral equations of the first kind. With the application of the Laplace transformation, the general solutions of the deflections and bending moments for the Euler-Bernoulli and Timoshenko beams as well as the rotation and shear force for the Timoshenko beams are obtained explicitly with several unknown constants. Considering the boundary conditions and extra constitutive constraints, the characteristic equations are obtained explicitly for the Euler-Bernoulli and Timoshenko beams under different boundary conditions, from which one can determine the critical buckling loads of nanobeams. The effects of the nonlocal parameters and buckling order on the buckling loads of nanobeams are studied numerically, and a consistent toughening effect is obtained. 展开更多
关键词 Laplace transformation Volterra INTEGRAL EQUATION FREDHOLM INTEGRAL EQUATION stress-driven NONLOCAL INTEGRAL model
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Analytical and approximate solutions of(2+1)-dimensional time-fractional Burgers-Kadomtsev-Petviashvili equation 认领
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作者 Mehmet Senol 《理论物理通讯:英文版》 SCIE CAS CSCD 2020年第5期21-31,共11页
In this paper,we applied the sub-equation method to obtain a new exact solution set for the extended version of the time-fractional Kadomtsev-Petviashvili equation,namely Burgers-Kadomtsev-Petviashvili equation(Burger... In this paper,we applied the sub-equation method to obtain a new exact solution set for the extended version of the time-fractional Kadomtsev-Petviashvili equation,namely Burgers-Kadomtsev-Petviashvili equation(Burgers-K-P)that arises in shallow water waves.Furthermore,using the residual power series method(RPSM),approximate solutions of the equation were obtained with the help of the Mathematica symbolic computation package.We also presented a few graphical illustrations for some surfaces.The fractional derivatives were considered in the conformable sense.All of the obtained solutions were replaced back in the governing equation to check and ensure the reliability of the method.The numerical outcomes confirmed that both methods are simple,robust and effective to achieve exact and approximate solutions of nonlinear fractional differential equations. 展开更多
关键词 fractional partial differential equations Burgers-Kadomtsev-Petviashvili equation conformable fractional derivative sub-equation method residual power series method
Modulation instability analysis, optical and other solutions to the modified nonlinear Schr?dinger equation 认领
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作者 Muhammad Younis Tukur Abdulkadir Sulaiman +2 位作者 Muhammad Bilal Shafqat Ur Rehman Usman Younas 《理论物理通讯:英文版》 SCIE CAS CSCD 2020年第6期1-12,共12页
This paper studies the new families of exact traveling wave solutions with the modified nonlinear Schrodinger equation,which models the propagation of rogue waves in ocean engineering.The extended Fan sub-equation met... This paper studies the new families of exact traveling wave solutions with the modified nonlinear Schrodinger equation,which models the propagation of rogue waves in ocean engineering.The extended Fan sub-equation method with five parameters is used to find exact traveling wave solutions.It has been observed that the equation exhibits a collection of traveling wave solutions for limiting values of parameters.This method is beneficial for solving nonlinear partial differential equations,because it is not only useful for finding the new exact traveling wave solutions,but also gives us the solutions obtained previously by the usage of other techniques(Riccati equation,or first-kind elliptic equation,or the generalized Riccati equation as mapping equation,or auxiliary ordinary differential equation method)in a combined approach.Moreover,by means of the concept of linear stability,we prove that the governing model is stable.3 D figures are plotted for showing the physical behavior of the obtained solutions for the different values of unknown parameters with constraint conditions. 展开更多
关键词 optical soliton MNLSE stability analysis generalized elliptic equation extended Fan sub-equation method
Analysis of Time-domain Electromagnetic Scattering Problem by Multiple Cavities 认领
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作者 Yang LIU Yi-xian GAO Jian ZU 《应用数学学报:英文版》 SCIE CSCD 2020年第1期18-48,共31页
The time-domain multiple cavity scattering problem,which arises in diverse scientific areas,has significant industrial and military applications.The multiple cavities,embedded in an infinite ground plane,is filled wit... The time-domain multiple cavity scattering problem,which arises in diverse scientific areas,has significant industrial and military applications.The multiple cavities,embedded in an infinite ground plane,is filled with inhomogeneous media characterized by variable dielectric permittivities and magnetic permeabilities.Corresponding to the transverse electric,the scattering problem can be studied by the Helmholtz equation in frequency domain and wave equation in time-domain respectively.A novel transparent boundary condition in time-domain is developed to reformulate the cavity scattering problem into an initial-boundary value problem in a bounded domain.The well-posedness and stability of the reduced problem are established.Moreover,a priori energy estimates for the electric field is obtained with minimum regularity requirement for the data and an explicit dependence on the time by studying the wave equation directly. 展开更多
关键词 HELMHOLTZ EQUATION wave EQUATION MULTIPLE CAVITIES stability a priori ESTIMATES
Time-Periodic Solution to the Compressible Navier–Stokes/Allen–Cahn System 认领
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作者 Chang Ming SONG Jian Lin ZHANG Yuan Yuan WANG 《数学学报:英文版》 SCIE CSCD 2020年第4期419-442,共24页
In this paper,we investigate the time-periodic solution to a coupled compressible Navier–Stokes/Allen–Cahn system which describes the motion of a mixture of two viscous compressible fluids with a time periodic exter... In this paper,we investigate the time-periodic solution to a coupled compressible Navier–Stokes/Allen–Cahn system which describes the motion of a mixture of two viscous compressible fluids with a time periodic external force in a periodic domain in R^N.The existence of the time-periodic solution to the system is established by using an approach of parabolic regularization and combining with the topology degree theory,and then the uniqueness of the period solution is obtained under some smallness and symmetry assumptions on the external force. 展开更多
关键词 Navier–Stokes equation Allen–Cahn equation two-phase flows time-periodic solution topology degree theory
Investigation of soliton solutions with different wave structures to the(2+1)-dimensional Heisenberg ferromagnetic spin chain equation 认领
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作者 M S Osman K U Tariq +4 位作者 Ahmet Bekir A Elmoasry Nasser S Elazab M Younis Mahmoud Abdel-Aty 《理论物理通讯:英文版》 SCIE CAS CSCD 2020年第3期7-13,共7页
The principal objective of this article is to construct new and further exact soliton solutions of the(2+1)-dimensional Heisenberg ferromagnetic spin chain equation which investigates the nonlinear dynamics of magnets... The principal objective of this article is to construct new and further exact soliton solutions of the(2+1)-dimensional Heisenberg ferromagnetic spin chain equation which investigates the nonlinear dynamics of magnets and explains their ordering in ferromagnetic materials.These solutions are exerted via the new extended FAN sub-equation method.We successfully obtain dark,bright,combined bright-dark,combined dark-singular,periodic,periodic singular,and elliptic wave solutions to this equation which are interesting classes of nonlinear excitation presenting spin dynamics in classical and semi-classical continuum Heisenberg systems.3D figures are illustrated under an appropriate selection of parameters.The applied technique is suitable to be used in gaining the exact solutions of most nonlinear partial/fractional differential equations which appear in complex phenomena. 展开更多
关键词 SOLITON solutions HEISENBERG FERROMAGNETIC EQUATION FAN sub-equation method
Integrable boundary conditions for the B2 model 认领
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作者 Panpan Xue Guang-Liang Li +4 位作者 Junpeng Cao Kun Hao Tao Yang Wen-Li Yang Kangjie Shi 《理论物理通讯:英文版》 SCIE CAS CSCD 2020年第1期5-12,共8页
New integrable B2 model with off-diagonal boundary reflections is proposed.The general solutions of the reflection matrix for the B2 model are obtained by using the fusion technique.Wefind that the reflection matrix h... New integrable B2 model with off-diagonal boundary reflections is proposed.The general solutions of the reflection matrix for the B2 model are obtained by using the fusion technique.Wefind that the reflection matrix has 7 free boundary parameters,which are used to describe the degree of freedom of boundary couplings,without breaking the integrability of the system.The new quantization conditions will induce the novel structure of the energy spectrum and the boundary states.The corresponding boundary effects can be studied based on the results in this paper.Meanwhile,the reflection matrix of high rank models associated with Bnalgebra can also be obtained by using the method suggested in this paper. 展开更多
关键词 BETHE ANSATZ lattice INTEGRABLE models YANG-BAXTER EQUATION reflection EQUATION
New Analytical and Numerical Results For Fractional Bogoyavlensky-Konopelchenko Equation Arising in Fluid Dynamics 认领
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作者 Ali Kurt 《高校应用数学学报:英文版(B辑)》 SCIE CSCD 2020年第1期101-112,共12页
In this article,(2+1)-dimensional time fractional Bogoyavlensky-Konopelchenko(BK)equation is studied,which describes the interaction of wave propagating along the x axis and y axis.To acquire the exact solutions of BK... In this article,(2+1)-dimensional time fractional Bogoyavlensky-Konopelchenko(BK)equation is studied,which describes the interaction of wave propagating along the x axis and y axis.To acquire the exact solutions of BK equation we employed sub equation method that is predicated on Riccati equation,and for numerical solutions the residual power series method is implemented.Some graphical results that compares the numerical and analytical solutions are given for di erent values of .Also comparative table for the obtained solutions is presented. 展开更多
关键词 Conformable FRACTIONAL DERIVATIVE FRACTIONAL Bogoyavlensky-Konopelchenko EQUATION Sub-Equation METHOD RESIDUAL Power Series METHOD
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Novel interaction phenomena of the(3+1)-dimensional Jimbo–Miwa equation 认领
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作者 Xiaomin Wang Sudao Bilige 《理论物理通讯:英文版》 SCIE CAS CSCD 2020年第4期1-10,共10页
In this paper,we give the general interaction solution to the(3+1)-dimensional Jimbo–Miwa equation.The general interaction solution contains the classical interaction solution.As an example,by using the generalized b... In this paper,we give the general interaction solution to the(3+1)-dimensional Jimbo–Miwa equation.The general interaction solution contains the classical interaction solution.As an example,by using the generalized bilinear method and symbolic computation by using Maple software,novel interaction solutions under certain constraints of the(3+1)-dimensional Jimbo–Miwa equation are obtained.Via three-dimensional plots,contour plots and density plots with the help of Maple,the physical characteristics and structures of these waves are described very well.These solutions greatly enrich the exact solutions to the(3+1)-dimensional Jimbo–Miwa equation found in the existing literature. 展开更多
关键词 generalized BILINEAR EQUATION INTERACTION solution DYNAMICAL characteristics (3+1)-dimensional Jimbo–Miwa EQUATION SYMBOLIC computation
On the Complex Difference Equation of Hypergeometric Type on Non-uniform Lattices 认领
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作者 Jin Fa CHENG 《数学学报:英文版》 SCIE CSCD 2020年第5期487-511,共25页
In this article,we obtain a new fundamental theorems for Nikiforov-Uvarov-Suslov complex difference equation of hypergeometric type by the method of Euler integral transformation,its expression is different from Suslo... In this article,we obtain a new fundamental theorems for Nikiforov-Uvarov-Suslov complex difference equation of hypergeometric type by the method of Euler integral transformation,its expression is different from Suslov’s Theorem.We also establish the adjoint equation for Nikiforov-Uvarov-Suslov difference equation of hypergeometric type on non-uniform lattices,and prove it to be a difference equation of hypergeometric type on non-uniform lattices as well.The particular solutions of the adjoint equation are then obtained.As an appliction of these particular solutions,we use them to obtain the particular solutions for the original difference equation of hypergeometric type on non-uniform lattices and other important results. 展开更多
关键词 Special function orthogonal POLYNOMIALS ADJOINT EQUATION difference EQUATION of HYPERGEOMETRIC TYPE non-uniform lattice
A(2+1)-dimensional nonlinear model for Rossby waves in stratified fluids and its solitary solution 认领
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作者 陈利国 杨联贵 +2 位作者 张瑞岗 刘全生 崔继峰 《理论物理通讯:英文版》 SCIE CAS CSCD 2020年第4期29-36,共8页
In this paper,we investigate a(2+1)-dimensional nonlinear equation model for Rossby waves in stratified fluids.We derive a forced Zakharov–Kuznetsov(ZK)–Burgers equation from the quasigeostrophic potential vorticity... In this paper,we investigate a(2+1)-dimensional nonlinear equation model for Rossby waves in stratified fluids.We derive a forced Zakharov–Kuznetsov(ZK)–Burgers equation from the quasigeostrophic potential vorticity equation with dissipation and topography under the generalized beta effect,and by utilizing temporal and spatial multiple scale transform and the perturbation expansion method.Through the analysis of this model,it is found that the generalized beta effect and basic topography can induce nonlinear waves,and slowly varying topography is an external impact factor for Rossby waves.Additionally,the conservation laws for the mass and energy of solitary waves are analyzed.Eventually,the solitary wave solutions of the forced ZK–Burgers equation are obtained by the simplest equation method as well as the new modified ansatz method.Based on the solitary wave solutions obtained,we discuss the effects of dissipation and slowly varying topography on Rossby solitary waves. 展开更多
关键词 ROSSBY SOLITARY waves dissipation topography forced ZK–Burgers EQUATION simplest EQUATION METHOD modified ANSATZ METHOD
On the connection between the solutions to the Dirac and Weyl equations and the corresponding electromagnetic four-potentials 认领
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作者 Aristides I Kechriniotis Christos A Tsonos +1 位作者 Konstantinos K Delibasis Georgios N Tsigaridas 《理论物理通讯:英文版》 SCIE CAS CSCD 2020年第4期52-63,共12页
In this work we study in detail the connection between the solutions to the Dirac and Weyl equations and the associated electromagnetic four-potentials.First,it is proven that all solutions to the Weyl equation are de... In this work we study in detail the connection between the solutions to the Dirac and Weyl equations and the associated electromagnetic four-potentials.First,it is proven that all solutions to the Weyl equation are degenerate,in the sense that they correspond to an infinite number of electromagnetic four-potentials.As far as the solutions to the Dirac equation are concerned,it is shown that they can be classified into two classes.The elements of the first class correspond to one and only one four-potential,and are called non-degenerate Dirac solutions.On the other hand,the elements of the second class correspond to an infinite number of four-potentials,and are called degenerate Dirac solutions.Further,it is proven that at least two of these fourpotentials are gauge-inequivalent,corresponding to different electromagnetic fields.In order to illustrate this particularly important result we have studied the degenerate solutions to the forcefree Dirac equation and shown that they correspond to massless particles.We have also provided explicit examples regarding solutions to the force-free Weyl equation and the Weyl equation for a constant magnetic field.In all cases we have calculated the infinite number of different electromagnetic fields corresponding to these solutions.Finally,we have discussed potential applications of our results in cosmology,materials science and nanoelectronics. 展开更多
关键词 DIRAC equation WEYL equation degenerate SOLUTIONS ELECTROMAGNETIC four-potentials ELECTROMAGNETIC fields massless particles
文章速递Electrical properties of m×n cylindrical network 认领
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作者 谭志中 谭震 《中国物理B:英文版》 SCIE EI CAS CSCD 2020年第8期182-197,共16页
We consider the problem of electrical properties of an m×n cylindrical network with two arbitrary boundaries,which contains multiple topological network models such as the regular cylindrical network,cobweb netwo... We consider the problem of electrical properties of an m×n cylindrical network with two arbitrary boundaries,which contains multiple topological network models such as the regular cylindrical network,cobweb network,globe network,and so on.We deduce three new and concise analytical formulae of potential and equivalent resistance for the complex network of cylinders by using the RT-V method(a recursion-transform method based on node potentials).To illustrate the multiplicity of the results we give a series of special cases.Interestingly,the results obtained from the resistance formulas of cobweb network and globe network obtained are different from the results of previous studies,which indicates that our research work creates new research ideas and techniques.As a byproduct of the study,a new mathematical identity is discovered in the comparative study. 展开更多
关键词 cylindrical network complex boundaries RT-V method electrical properties Laplace equation
文章速递Measurement and verification of concentration-dependent diffusion coefficient:Ray tracing imagery of diffusion process 认领
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作者 魏利 孟伟东 +2 位作者 孙丽存 曹新飞 普小云 《中国物理B:英文版》 SCIE EI CAS CSCD 2020年第8期292-301,共10页
Ray tracing method is used to study the propagation of collimated beams in a liquid-core cylindrical lens(LCL),which has dual functions of diffusion cell and image formation.The diffusion images on the focal plane of ... Ray tracing method is used to study the propagation of collimated beams in a liquid-core cylindrical lens(LCL),which has dual functions of diffusion cell and image formation.The diffusion images on the focal plane of the used LCL are simulated by establishing and solving both linear and nonlinear ray equations,the calculated results indicate that the complex imaging results of LCL in inhomogeneous media can be treated by the law of ray propagation in homogeneous media under the condition of small refractive index gradient of diffusion solution.Guided by the calculation conditions,the diffusion process of triethylene glycol aqueous solution is experimentally studied at room temperature by using the LCL in this paper.The spatial and temporal concentration profile Ce(z,t)of diffusion solution is obtained by analyzing diffusion image appearing on the focal plane of the LCL;Then,the concentration-dependent diffusion coefficient is assumed to be a polynomial D(C)=D0×(1+α1C+α2C2+α3C3+…).The finite difference method is used to solve the Fick diffusion equation for calculating numerically the concentration profiles Cn(z,t).The D(C)of triethylene glycol aqueous solution is obtained by comparing the Cn(z,t)with Ce(z,t).Finally,the obtained polynomial D(C)is used to calculate the refractive index profiles nn(z,t)s of diffusion solution in the used LCL.Based on the ray propagation law in inhomogeneous media and the calculated n(z,t),the ray tracing method is used again to simulate the dynamic images of the whole experimental diffusion process to varify the correctness of the calculated D(C).The method presented in this work opens up a new way for both measuring and verifying the concentration-dependent liquid diffusion coefficients. 展开更多
关键词 concentration-dependent liquid diffusion coefficients liquid-core cylindrical lens nonlinear ray equation ray tracing method
文章速递A high-pressure study of Cr3C2 by XRD and DFT 认领
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作者 熊伦 李强 +2 位作者 杨成福 谢清爽 张俊然 《中国物理B:英文版》 SCIE EI CAS CSCD 2020年第8期381-385,共5页
The equation of state(EOS)of Cr3C2 at high pressure is studied by the synchrotron radiation x-ray diffraction(XRD)in a diamond anvil cell(DAC)at ambient temperature,and density functional theory(DFT).The XRD analysis ... The equation of state(EOS)of Cr3C2 at high pressure is studied by the synchrotron radiation x-ray diffraction(XRD)in a diamond anvil cell(DAC)at ambient temperature,and density functional theory(DFT).The XRD analysis shows that the orthorhombic structure is maintained to a maximum pressure of 44.5 GPa.The XRD data show that the bulk modulus is K0=292(18)GPa with K0'=3.25(0.85).In addition,the high-pressure compression behavior of Cr3C2 is studied by first principles calculations.The obtained bulk modulus of Cr3C2 is 323(1)GPa. 展开更多
关键词 equation of state Cr3C2 high pressure in-situ XRD first principles calculations
文章速递Analysis of the role of branching angle in the dynamic rupture process on a 3-D branching fault system 认领
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作者 JingXing Fang Feng Qian HaiMing Zhang 《地球与行星物理:英文版》 CSCD 2020年第5期523-531,共9页
The fault branching phenomenon,which may heavily influence the patterns of rupture propagation in fault systems,is one of the geometric complexities of fault systems that is widely observed in nature.In this study,we ... The fault branching phenomenon,which may heavily influence the patterns of rupture propagation in fault systems,is one of the geometric complexities of fault systems that is widely observed in nature.In this study,we investigate the effect of the branching angle on the rupture inclination and the interaction between branch planes in two-fork branching fault systems by numerical simulation and theoretical analysis based on Mohr’s circle.A friction law dependent on normal stress is used,and special attention is paid to studying how ruptures on the upper and lower branch planes affect the stress and rupture on each other separately.The results show that the two branch planes affect each other in different patterns and that the intensity of the effect changes with the branching angle.The rupture of the lower branch plane has a negative effect on the rupture of the upper branch plane in the case of a small branching angle but has almost no negative effect in the case of a large branching angle.The rupture of the upper branch plane,however,suppresses the rupture of the lower branch plane regardless of whether the branching angle is large or small. 展开更多
关键词 branching faults Mohr–Coulomb diagram boundary integral equation method earthquake source dynamics rupture selectivity
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