Exact coherent structures in the \((2 + 1)\)-dimensional KdV equations

DOI10.1016/J.APM.2012.07.038zbMath1351.35172OpenAlexW1995637515MaRDI QIDQ727317

Zuntao Fu, Shikuo Liu, Hao Guo

Publication date: 6 December 2016

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

Full work available at URL: https://doi.org/10.1016/j.apm.2012.07.038

zbMATH Keywords

coherent structuresingular manifold method\((2+1)\)-dimensional KdV equations

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Software, source code, etc. for problems pertaining to partial differential equations (35-04)

Related Items (3)

On some invariant solutions of (2+1)-dimensional Korteweg-de Vries equations ⋮ Caution with respect to ``new variable separation solutions and their corresponding localized structures ⋮ Jacobi spectral discretization for nonlinear fractional generalized seventh-order KdV equations with convergence analysis

Uses Software

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Cites Work

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• A simple transformation for nonlinear waves.
• The functional separation method based on the singular manifold method
• The tanh method for compact and noncompact solutions for variants of the KdV-Burgers and the \(K(n,n)\)-Burgers equations
• The Painlevé property for partial differential equations
• On the spectral transform of a Korteweg-de Vries equation in two spatial dimensions
• A New Multisoliton Solution to (2+1)-Dimensional KdV Equation
• Breather solutions and breather lattice solutions to the sine-Gordon equation
• A simple fast method in finding particular solutions of some nonlinear PDE
• Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equations
• New Jacobi elliptic function expansion and new periodic solutions of nonlinear wave equations

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