Asymptotic behavior of the periodic wave solution for the \((3+1)\)-dimensional Kadomtsev-Petviashvili equation

DOI10.1016/j.amc.2010.04.030zbMath1195.35273OpenAlexW1988543620MaRDI QIDQ984356

Yong-Qi Wu

Publication date: 19 July 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.04.030

zbMATH Keywords

asymptotic behaviorHirota bilinear methodsoliton solutionperiodic wave solution\((3+1)\)-dimensional Kadomtsev-Petviashvili equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53) Periodic solutions to PDEs (35B10) Geometric theory, characteristics, transformations in context of PDEs (35A30) Soliton solutions (35C08)

Related Items

Shape-changed propagations and interactions for the (3+1)-dimensional generalized Kadomtsev–Petviashvili equation in fluids, On the solitary waves, breather waves and rogue waves to a generalized \((3+1)\)-dimensional Kadomtsev-Petviashvili equation, Periodic solutions to a coupled two-dimensional lattice presented by Blaszak and Szum with Riemann-theta function, Theta function solutions of the 3 + 1-dimensional Jimbo-Miwa equation, Periodic-wave solutions of the two-dimensional Toda lattice equation by a direct method

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