Two-soliton solution to a generalized KP equation with general variable coefficients

DOI10.1016/j.aml.2017.07.011OpenAlexW2742486461MaRDI QIDQ1680006

Xiangzheng Li, Jin-Liang Zhang, Ming-Liang Wang

Publication date: 22 November 2017

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2017.07.011

zbMATH Keywords

nonlinear transformationcylindrical KP equationtwo-soliton solutionquadratic homogeneity equationvariable coefficient KP equationgeneralized cylindrical KP equationgeneralized KP equation with general variable coefficientssimplified homogeneous balance method

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (8)

Soliton-like solutions of general variable coefficient (2+1)-dimensional KdV equation with linear damping term ⋮ Unnamed Item ⋮ Accurate coiflet wavelet solution of extended \((2+1)\)-dimensional Kadomtsev-Petviashvili equation using the novel wavelet-homotopy analysis approach ⋮ Decay mode solution of nonlinear boundary-initial value problems for the cylindrical (spherical) Boussinesq-Burgers equations ⋮ New lump, lump-kink, breather waves and other interaction solutions to the (3+1)-dimensional soliton equation ⋮ The generalized Cole-Hopf transformation to a general variable coefficient Burgers equation with linear damping term ⋮ Lump-type solutions and interaction phenomenon to the (2+1)-dimensional breaking soliton equation ⋮ New explicit and exact traveling wave solutions of \((3+1)\)-dimensional KP equation

Cites Work

• \(N\)-dimensional auto-Bäcklund transformation and exact solutions to \(n\)-dimensional Burgers system
• The decay mode solutions for the cylindrical KP equation
• Explicit bi-soliton-like solutions for a generalized KP equation with variable coefficients
• An auto-Bäcklund transformation and exact solutions to a generalized KdV equation with variable coefficients and their applications
• Pfaffianization of the variable-coefficient KP equation
• Bäcklund transformation, non-local symmetry and exact solutions for \((2+1)\)-dimensional variable coefficient generalized KP equations
• Truncated Painlevé expansion and a wide-ranging type of generalized variable-coefficient Kadomtsev-Petviashvili equations
• Painlevé Analysis and the Complete Integrability of a Generalized Variable-Coefficient Kadomtsev-Petviashvili Equation

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