Soliton solutions of Burgers' equation and the modified Kadomtsev–Petviashvili equation

DOI10.1088/1751-8113/43/36/365202zbMath1198.35217OpenAlexW2090109387MaRDI QIDQ4930103

Fan-Fan Wang, Ai-Hua Chen, Wei-Guo Zhang

Publication date: 28 September 2010

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1751-8113/43/36/365202

zbMATH Keywords

solitonMiura transformationDarboux transformationKadomtsev-Petviashvili equation

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) Soliton equations (35Q51) Geometric theory, characteristics, transformations in context of PDEs (35A30) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (2)

The elastic-fusion-coupled interaction for the Boussinesq equation and new soliton solutions of the KP equation ⋮ On the numerical solution of one-dimensional nonlinear nonhomogeneous Burgers' equation

This page was built for publication: Soliton solutions of Burgers' equation and the modified Kadomtsev–Petviashvili equation