\(N\)-soliton solutions, Bäcklund transformation and Lax pair for a generalized variable-coefficient cylindrical Kadomtsev-Petviashvili equation

DOI10.1016/J.AML.2024.109239zbMATH Open1546.35154MaRDI QIDQ6592474

Zhong-Zhou Lan

Publication date: 26 August 2024

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

zbMATH Keywords

soliton solutionsBell polynomialsBäcklund transformationLax pairgeneralized variable-coefficient cylindrical Kadomtsev-Petviashvili equation

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Soliton solutions (35C08)

Cites Work

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• Solitons and Bäcklund transformation for a generalized (3+1)-dimensional variable-coefficient B-type Kadomtsev-Petviashvili equation in fluid dynamics
• Painlevé property, auto-Bäcklund transformation and analytic solutions of a variable-coefficient modified Korteweg-de Vries model in a hot magnetized dusty plasma with charge fluctuations
• Exponential polynomials
• Solitons and rouge waves for a generalized \((3+1)\)-dimensional variable-coefficient Kadomtsev-Petviashvili equation in fluid mechanics
• Soliton solutions and a Bäcklund transformation for a generalized nonlinear Schrödinger equation with variable coefficients from optical fiber communications
• A New Form of Backlund Transformations and Its Relation to the Inverse Scattering Problem
• Painlevé Analysis and the Complete Integrability of a Generalized Variable-Coefficient Kadomtsev-Petviashvili Equation

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