Decomposition of the generalized KP, cKP and mKP and their exact solutions

DOI10.1016/J.PHYSLETA.2008.01.036zbMath1220.35136OpenAlexW1983655812MaRDI QIDQ637720

Tie-cheng Xia, Fucai You, Deng-Yuan Chen

Publication date: 6 September 2011

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2008.01.036

zbMATH Keywords

exact solutionDarboux transformationsoliton equationdouble Wronskian

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton equations (35Q51)

Related Items (8)

Dynamics of soliton waves of group-invariant solutions through optimal system of an extended KP-like equation in higher dimensions with applications in medical sciences and mathematical physics ⋮ Solving the \((3+1)\)-dimensional generalized KP and BKP equations by the multiple exp-function algorithm ⋮ Determinant solutions to a \((3+1)\)-dimensional generalized KP equation with variable coefficients ⋮ Interaction structures of multi localized waves within the Kadomtsev-Petviashvili I equation ⋮ A bilinear Bäcklund transformation of a \((3+1)\)-dimensional generalized KP equation ⋮ Higher-order rational solitons and rogue-like wave solutions of the \((2+1)\)-dimensional nonlinear fluid mechanics equations ⋮ Wronskian and Grammian solutions to a \((3 + 1)\)-dimensional generalized KP equation ⋮ Localized waves and interaction solutions to a \((3+1)\)-dimensional generalized KP equation

Cites Work

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• Hierarchy of Poisson brackets for elements of a scattering matrix
• Time-space integrable decompositions of nonlinear evolution equations
• Curved asymptotic solitons of Kadomtsev-Petviashvili-I and modified Kadomtsev-Petviashvili-I equations
• Wronskians, generalized Wronskians and solutions to the Korteweg-de Vries equation
• Relationships among Inverse Method, Backlund Transformation and an Infinite Number of Conservation Laws
• Superposition principles associated with the Moutard transformation: an integrable discretization of a (2+1)–dimensional sine–Gordon system
• The use of Backlund transformations in obtaining N-soliton solutions in Wronskian form
• The inverse scattering transform: Semi-infinite interval

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