New exact periodic solitary wave solutions for Kadomtsev-Petviashvili equation

DOI10.1016/j.amc.2009.04.080zbMath1203.35232OpenAlexW1964499297MaRDI QIDQ609261

Changfu Liu

Publication date: 30 November 2010

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

Full work available at URL: https://doi.org/10.1016/j.amc.2009.04.080

zbMATH Keywords

Hirota bilinear methodperiodic solitary wave solutiontwo dimensional Kadomtsev-Petviashvili equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Periodic solutions to PDEs (35B10) Soliton equations (35Q51) Software, source code, etc. for problems pertaining to partial differential equations (35-04) Soliton solutions (35C08) Methods of ordinary differential equations applied to PDEs (35A24)

Related Items (3)

Breather-type multi-solitary waves to the Kadomtsev-Petviashvili equation with positive dispersion ⋮ Some more solutions of Kadomtsev-Petviashvili equation ⋮ Transformations and multi-solitonic solutions for a generalized variable-coefficient Kadomtsev-Petviashvili equation

Cites Work

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• Singular periodic soliton solutions and resonance for the Kadomtsev-Petviashvili equation
• Exact soliton solutions for the fifth-order Sawada-Kotera equation
• Theoretical study of resonance of the Kadomtsev-Petviashvili equation
• Multiple-soliton solutions for the KP equation by Hirota's bilinear method and by the tanh-coth method
• Interaction of Kadomtsev-Petviashvili solitons with unequal amplitudes
• Homoclinic orbits and periodic solitons for Boussinesq equation with even constraint
• Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
• Exact N-soliton solutions of the wave equation of long waves in shallow-water and in nonlinear lattices

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