Bäcklund Transformations and Solutions of a Generalized Kadomtsev—Petviashvili Equation

DOI10.1088/0253-6102/57/2/10zbMath1247.37080OpenAlexW1630419180MaRDI QIDQ2913559

Yong Chen, Yun-Hu Wang

Publication date: 26 September 2012

Published in: Communications in Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0253-6102/57/2/10

zbMATH Keywords

Riemann theta functionBäcklund transformation\(N\)-soliton solutionperiodic wave solutionbinary Bell polynomial

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) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Theta functions and curves; Schottky problem (14H42) Traveling wave solutions (35C07) Soliton solutions (35C08)

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The interactions of \(N\)-soliton solutions for the generalized (2+1)-dimensional variable-coefficient fifth-order KdV equation ⋮ Nonautonomous solitons and Wronskian solutions for the \((3+1)\)-dimensional variable-coefficient forced Kadomtsev-Petviashvili equation in the fluid or plasma ⋮ Bäcklund transformation, infinite number of conservation laws and fission properties of an integro-differential model for ocean internal solitary waves ⋮ A novel dynamic model and the oblique interaction for ocean internal solitary waves ⋮ The rational solutions and quasi-periodic wave solutions as well as interactions of \(N\)-soliton solutions for \(3 + 1\) dimensional Jimbo-Miwa equation ⋮ Bell polynomial approach to an extended Korteweg–de Vries equation ⋮ Integrability of the modified generalised Vakhnenko equation

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