Persistence of travelling waves for a coupled nonlinear wave system

DOI10.1016/J.AMC.2007.02.092zbMath1193.35193OpenAlexW2092202149MaRDI QIDQ990443

Jun-Liang Lu, Da-He Feng, Tian-Lan He

Publication date: 1 September 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2007.02.092

zbMATH Keywords

travelling wavesequilibriumnonlinear wave equationsgeometric singular perturbation theorycoupled nonlinear wave systemnormally hyperbolic manifold

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations (37L05) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (2)

Comment on: Persistence of travelling wave for a coupled nonlinear wave system ⋮ New exact solutions for Kudryashov-Sinelshchikov equation

Cites Work

• Unnamed Item
• Bifurcations of travelling wave solutions for a coupled nonlinear wave system
• Geometric singular perturbation theory for ordinary differential equations
• Homoclinic orbit in a six-dimensional model of a perturbed higher-order nonlinear Schrödinger equation.
• Persistence of travelling wave solutions of a fourth order diffusion system
• Existence of time-periodic solutions for damped generalized coupled nonlinear wave equations
• The existence of solitary waves of singularly perturbed mKdV--KS equation

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