A diversity of localized structures in a \((2 + 1)\)-dimensional KdV equation

DOI10.1016/j.apm.2008.03.015zbMath1205.35271OpenAlexW2070199216MaRDI QIDQ965678

Yan-Ze Peng, E. V. Krishnan, Hui Feng

Publication date: 24 April 2010

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2008.03.015

zbMATH Keywords

localized structures\((2 + 1)\)-dimensional KdV equationthe singular manifold method

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51)

Related Items (3)

Exact coherent structures for coupled integrable dispersionless equations ⋮ \(N\)-soliton solutions and localized structures for the \(2+1\)-dimensional Broer-Kaup-Kupershmidt system ⋮ Exact coherent structures in the \((2 + 1)\)-dimensional KdV equations

Cites Work

• The sine-Gordon equations: Complete and partial integrability
• Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
• Method for Solving the Korteweg-deVries Equation
• New similarity reductions of the Boussinesq equation
• The Painlevé property for partial differential equations
• The Painlevé property and Bäcklund transformations for the sequence of Boussinesq equations
• `Solitoff' Solutions of Nonlinear Evolution Equations
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