Exact traveling wave solutions of some nonlinear physical models. II: Coupled KdV type equations

DOI10.1016/S1007-5704(00)90029-7zbMath0995.35060OpenAlexW2051250566MaRDI QIDQ5936256

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Publication date: 26 February 2002

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1007-5704(00)90029-7

zbMATH Keywords

Boussinesq systemcoupled KdV equationscoupled nonlinear water wave equationsexact traveling wave solutionrank analysis method

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Solitary waves for incompressible inviscid fluids (76B25)

Cites Work

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• Global well-posedness of the initial value problem for the Hirota-Satsuma system
• Exploratory approach to explicit solution of nonlinear evolution equations
• Exact traveling wave solutions of some nonlinear physical models. I: The fifth order KdV type equations
• A Boussinesq system for two-way propagation of nonlinear dispersive waves
• \(N\)-soliton solutions of a system of coupled KdV equations
• New exact solutions to a solutions to a system of coupled KdV equations
• Exact soliton solutions of some nonlinear physical models
• Exact wave front solutions to two generalized coupled nonlinear physical equations
• A note on the homogeneous balance method
• Application of a homogeneous balance method to exact solutions of nonlinear equations in mathematical physics

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