Wronskian and Grammian solutions for a \((2+1)\)-dimensional Date-Jimbo-Kashiwara-Miwa equation

DOI10.1016/j.camwa.2017.06.008zbMath1387.35539OpenAlexW2705234476MaRDI QIDQ1705022

Jun Chai, Wen-Rong Sun, Yu-Qiang Yuan, Bo Tian, Lei Liu

Publication date: 14 March 2018

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2017.06.008

zbMATH Keywords

WronskianBäcklund transformationDate-Jimbo-Kashiwara-Miwa equationGrammian

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Geometric theory, characteristics, transformations in context of PDEs (35A30) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

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Rational solutions, and the interaction solutions to the (2 + 1)-dimensional time-dependent Date–Jimbo–Kashiwara–Miwa equation ⋮ The application of the \(\bar\partial\)-dressing method to the \((2+1)\)-dimensional Date-Jimbo-Kashiwara-Miwa equation ⋮ New non-traveling wave solutions for (3+1)-dimensional variable coefficients Date-Jimbo-Kashiwara-Miwa equation ⋮ Wronskian and lump wave solutions to an extended second KP equation ⋮ Optical solutions of the Date-Jimbo-Kashiwara-Miwa equation via the extended direct algebraic method ⋮ New non-traveling wave solutions for the (2+1)-dimensional variable coefficients Date-Jimbo-Kashiwara-Miwa equation ⋮ Lie symmetry reductions and generalized exact solutions of Date-Jimbo-Kashiwara-Miwa equation ⋮ Stability analysis and abundant closed-form wave solutions of the Date-Jimbo-Kashiwara-Miwa and combined sinh-cosh-Gordon equations arising in fluid mechanics ⋮ Analysis of analytical solutions of fractional Date-Jimbo-Kashiwara-Miwa equation ⋮ The application of the \(\exp(- \Phi(\xi))\)-expansion method for finding the exact solutions of two integrable equations ⋮ Lax pair and lump solutions for the \((2+1)\)-dimensional DJKM equation associated with bilinear Bäcklund transformations ⋮ Interaction solutions between lump and stripe soliton to the \((2+1)\)-dimensional Date-Jimbo-Kashiwara-Miwa equation ⋮ New exact solutions of (2+1)-dimensional vDJKM and (3+1)-dimensional BLMP equations

Cites Work

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• A note on rational solutions to a Hirota-Satsuma-like equation
• Darboux transformation and analytic solutions of the discrete \(\mathcal{PT}\)-symmetric nonlocal nonlinear Schrödinger equation
• Constructing lump solutions to a generalized Kadomtsev-Petviashvili-Boussinesq equation
• Study of lump dynamics based on a dimensionally reduced Hirota bilinear equation
• Comparison of two reliable analytical methods based on the solutions of fractional coupled Klein-Gordon-Zakharov equations in plasma physics
• The multisoliton solutions for the nonisospectral mKP equation
• Exact and explicit solutions to some nonlinear evolution equations by utilizing the \((G'/G)\)-expansion method
• Painlevé expansions for nonintegrable evolution equations
• Comparison between homotopy perturbation method and optimal homotopy asymptotic method for the soliton solutions of Boussinesq-Burger equations
• Exponential polynomials
• Rational solutions to an extended Kadomtsev-Petviashvili-like equation with symbolic computation
• Solitons for a generalized sixth-order variable-coefficient nonlinear Schrödinger equation for the attosecond pulses in an optical fiber
• Lax pair, conservation laws, and multi-shock wave solutions of the DJKM equation with Bell polynomials and symbolic computation
• The first integral method for constructing exact and explicit solutions to nonlinear evolution equations
• Constructing rational and multi-wave solutions to higher order NEEs via the Exp-function method
• Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
• On the combinatorics of the HirotaD-operators
• Hierarchies of Coupled Soliton Equations. I
• The Painlevé property for partial differential equations
• Method for Generating Discrete Soliton Equation. III
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
• On a direct bilinearization method: Kaup's higher-order water wave equation as a modified nonlocal Boussinesq equation
• Symbolic Computations and Exact and Explicit Solutions of Some Nonlinear Evolution Equations in Mathematical Physics
• Exact envelope-soliton solutions of a nonlinear wave equation
• Exact Solutions for the Nonisospectral Kadomtshev–Petviashvili Equation