On a new algorithm of constructing solitary wave solutions for systems of nonlinear evolution in mathematical physics

DOI10.1007/BF02463758zbMath0962.35159OpenAlexW2317773886MaRDI QIDQ1578230

Zhenya Yan, Hong-Qing Zhang

Publication date: 13 June 2001

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02463758

zbMATH Keywords

solitary wave solutionWu-elimination methodsine-cosine methodsystem of nonlinear evolution equations

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Theoretical approximation in context of PDEs (35A35) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (7)

New explicit solutions for (2+1)-dimensional soliton equation ⋮ New exact solutions for the nonlinear wave equation with fifth-order nonlinear term ⋮ Exact solutions and conservation laws of the Drinfel'd-Sokolov-Wilson system ⋮ Breather-like director reorientations in a nematic liquid crystal with nonlocal nonlinearity ⋮ Exact solutions of the Drinfel'd-Sokolov-Wilson equation using the exp-function method ⋮ Q-symmetry and conditional Q-symmetries for Drinfel'd-Sokolov-Wilson system ⋮ New exact solutions for the classical Drinfel'd-Sokolov-Wilson equation

Cites Work

• Bäcklund transformation and exact solutions for Whitham-Broer-Kaup equations in shallow water
• A simple transformation for nonlinear waves.
• Mathematics of dispersive water waves
• Approximate equations for long water waves
• Variational methods and applications to water waves
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