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Chaos, Solitons & Fractals, ISSN 0960-0779, 11/2019, p. 109525
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 01/2017, Volume 445, Issue 1, pp. 81 - 96
We study a new type of nonlinear Schrödinger equation where the coefficient of Laplacian depends on spatial variable. Based on a modified Hankel transform and... 
Strichartz estimate | Schrödinger equation with spatial variable coefficient | Well-posedness
Journal Article
Applied Mathematics Letters, ISSN 0893-9659, 02/2019, Volume 88, pp. 132 - 140
In this paper, the nonlocal symmetries and exact interaction solutions of the variable coefficient Korteweg–de Vries (KdV) equation are studied. With the help... 
Interaction solution | Nonlocal symmetry | Variable coefficient KdV equation
Journal Article
Kongzhi yu Juece/Control and Decision, ISSN 1001-0920, 10/2017, Volume 32, Issue 10, pp. 1831 - 1836
Journal Article
Communications in Nonlinear Science and Numerical Simulation, ISSN 1007-5704, 04/2020, Volume 83, p. 105108
Journal Article
Applied Mathematics Letters, ISSN 0893-9659, 11/2017, Volume 73, pp. 143 - 149
Journal Article
Applied Mathematics Letters, ISSN 0893-9659, 04/2020, Volume 102, p. 106132
In this paper, a fifth-order variable-coefficient nonlinear Schrödinger equation in an optical fiber has been investigated. Based on the Darboux... 
Fifth-order variable-coefficient nonlinear Schrödinger equation | Solitons | Breathers | Darboux transformation | Optical fiber
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 09/2019, Volume 392, pp. 456 - 461
The second-order backward-difference (BDF2) method requires solutions at two previous time steps and is often started with the first-order backward-difference... 
Trapezoidal rule | Backward difference formula | Stiff ODE | L-stability | Start up error | Variable coefficient and step | Errors | Runge-Kutta method
Journal Article
Applied Mathematics Letters, ISSN 0893-9659, 08/2019, Volume 94, pp. 94 - 98
In this letter, we discuss a variable-coefficient Boiti–Leon–Manna–Pempinelli equation. We present its soliton solution and derive its new bilinear Bäcklund... 
Lax pair | Variable-coefficient BLMP equation | Bäcklund transformation | MATHEMATICS, APPLIED | SYMMETRIES | Backlund transformation
Journal Article
Chinese Journal of Physics, ISSN 0577-9073, 06/2019, Volume 59, pp. 160 - 165
In our manuscript, we aim to investigate dark soliton behavior for the (2+1)-dimensional Davey–Stewartson-like equations with variable coefficients, which can... 
Elastic collisions | Dark solitons | Variable-coefficient Davey–Stewartson-like equations
Journal Article
Journal of Modern Optics, ISSN 0950-0340, 11/2013, Volume 60, Issue 19, pp. 1627 - 1636
In this paper, the resonant nonlinear Schrödinger's equation is studied with four forms of nonlinearity. This equation is also considered with time-dependent... 
integrability | solitons | Integrability | Solitons | MKDV EQUATION | DIFFERENTIAL-EQUATIONS | WAVE SOLUTIONS | OPTICS | SUB-ODE METHOD | VARIABLE-COEFFICIENT | Optical fibers | Mathematical analysis | Nonlinear evolution equations | Tools | Nonlinearity | Schroedinger equation
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 02/2019, Volume 342, pp. 71 - 93
A high-order compact finite difference method is proposed for solving a class of time-fractional sub-diffusion equations. The diffusion coefficient of the... 
Compact difference method | Energy method | Variable coefficient | High-order convergence | Fractional sub-diffusion equation | SCHEME | MATHEMATICS, APPLIED | APPROXIMATION | DERIVATIVES
Journal Article
Applied Mathematics Letters, ISSN 0893-9659, 12/2018, Volume 86, pp. 215 - 221
In this paper, we present a new analytical formula for the Cauchy problem of the linear inhomogeneous wave equation with variable coefficients. The formula... 
Variable coefficient | Inhomogeneous wave equation | Cauchy problem | MATHEMATICS, APPLIED | 2ND-ORDER DIFFERENTIAL-EQUATIONS | COLLOCATION METHODS
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 01/2019, Volume 345, pp. 127 - 134
In this paper, the improved CK reduction transformation is performed on the generalized variable-coefficient KdV (vc-KdV) type of equation, then these... 
CK transformation | Conservation law | Variable-coefficient equation | Lie group classification | Exact solution | REDUCTIONS | MATHEMATICS, APPLIED | SYSTEMS | INTEGRABLE PROPERTIES | Environmental law
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 2009, Volume 214, Issue 2, pp. 370 - 373
In this work, an auxiliary equation is used for an analytic study on the time-variable coefficient modified Korteweg-de Vries (mKdV) equation. Five sets of new... 
Soliton solution | Variable coefficient modified KdV equation | Sub-ODE method | MATHEMATICS, APPLIED | WAVE SOLUTIONS | KDV
Journal Article
Annals of Nuclear Energy, ISSN 0306-4549, 10/2019, p. 107100
Journal Article
Applied Mathematics Letters, ISSN 0893-9659, 12/2018, Volume 86, pp. 243 - 248
Journal Article
Optik, ISSN 0030-4026, 12/2019, Volume 198, p. 163247
We obtain new traveling wave and soliton solutions of the sine-Gordon (SG) equation with a variable coefficient (VC), with the help of the F-expansion... 
F-expansion technique | Solitary waves | sine-Gordon equation with a variable coefficient | OPTICS | TANH-FUNCTION METHOD
Journal Article
Wuli Xuebao/Acta Physica Sinica, ISSN 1000-3290, 03/2016, Volume 65, Issue 5
Journal Article
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