New exact solutions for a class of nonlinear coupled differential equations

DOI10.1016/S0375-9601(02)00151-2zbMath0996.34001MaRDI QIDQ5961207

Dong Bo Cao

Publication date: 24 April 2002

Published in: Physics Letters. A (Search for Journal in Brave)

zbMATH Keywords

homogeneous balance methodtrigonometric function transform

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Explicit solutions, first integrals of ordinary differential equations (34A05)

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Doubly periodic solutions for a class of nonlinear coupled equations and two related physical models ⋮ Domain wall and periodic solutions of coupled ϕ4 models in an external field ⋮ Exact solutions for a new coupled MKdV equations and a coupled KdV equations ⋮ Extended proposed algorithm with symbolic computation to construct exact solutions for some nonlinear differential equations ⋮ Exact solutions for some non-linear differential equations using complex hyperbolic function methods ⋮ A modified extended method to find a series of exact solutions for a system of complex coupled KdV equations ⋮ Travelling solitary wave solutions for the nonlinear coupled Korteweg-de Vries system ⋮ On the solitary wave solutions for nonlinear Euler equations ⋮ On the solitary wave solutions for nonlinear Hirota-Satsuma coupled KdV equations ⋮ On the rational solitary wave solutions for the nonlinear Hirota–Satsuma coupled KdV system ⋮ On non-linear evolution equations of higher order - the introduction and application of a novel computational approach ⋮ Exact solutions of the classical Drinfel'd-Sokolov-Wilson equations and the relations among the solutions

Cites Work

• On the integrable variant of the Boussinesq system: Painlevé property, rational solutions, a related many-body system, and equivalence with the AKNS hierarchy
• A simple transformation for nonlinear waves.
• 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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