New applications of the singular manifold method to the (2 + 1)-dimensional Burgers equations

DOI10.1016/j.amc.2006.06.025zbMath1106.35085OpenAlexW1965043381MaRDI QIDQ864739

Emmanuel Yomba, Yan-Ze Peng

Publication date: 13 February 2007

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

Full work available at URL: https://doi.org/10.1016/j.amc.2006.06.025

zbMATH Keywords

Bäcklund transformationsJacobi elliptic functionssingular manifold method\((2+1)\)-dimensional Burgers equationsCole-Hopf transformationsfunctional separation solutionsgeneral functional separation solutions

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20)

Related Items (1)

A study on the \((2 + 1)\)-dimensional and the \((2 + 1)\)-dimensional higher-order Burgers equations

Cites Work

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• The Painlevé property for partial differential equations
• Method for Solving the Korteweg-deVries Equation
• Exact Periodic and New Solitary Wave Solutions to the Generalization of Integrable (2+1)-dimensional Dispersive Long Wave Equations

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