Solitary waves solutions of singularly perturbed higher-order KdV equation via geometric singular perturbation method

DOI10.1007/s11071-015-1894-7zbMath1345.35007OpenAlexW2028798193MaRDI QIDQ748040

Kaige Zhuang, Xiaojie Lin, Zeng-Ji Du

Publication date: 19 October 2015

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-015-1894-7

zbMATH Keywords

homoclinic orbitscenter manifoldsolitary wave solutiongeometric singular perturbation methodsingularly perturbed KdV equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Singular perturbations in context of PDEs (35B25) Homoclinic and heteroclinic orbits for dynamical systems (37C29)

Related Items (10)

Existence of periodic wave of a BBM equation with delayed convection and weak diffusion ⋮ Existence of traveling wave fronts for a generalized nonlinear Schrödinger equation ⋮ Traveling waves in a quintic BBM equation under both distributed delay and weak backward diffusion ⋮ Elliptic and multiple-valued solutions of some higher order ordinary differential equations ⋮ Existence of traveling waves in a delayed convecting shallow water fluid model ⋮ Solitary waves and periodic waves in a perturbed KdV equation ⋮ Traveling waves in a generalized nonlinear dispersive–dissipative equation ⋮ New solitary wave solutions in a perturbed generalized BBM equation ⋮ A New Type of Solitary Wave Solution of the mKdV Equation Under Singular Perturbations ⋮ Persistence of solitary wave solutions to a singularly perturbed generalized mKdV equation

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