Persistence of solitary wave solutions to a singularly perturbed generalized mKdV equation

DOI10.1016/j.aml.2021.107668zbMath1479.35214OpenAlexW3201327641MaRDI QIDQ2060927

Manwai Yuen, Jundong Wang, Li-jun Zhang

Publication date: 13 December 2021

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2021.107668

zbMATH Keywords

solitary wave solutiongeometric singular perturbation theoryperturbed mKdV equationMelnikov's function

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Singular perturbations in context of PDEs (35B25) Soliton solutions (35C08)

Related Items (3)

Solitary waves of singularly perturbed generalized KdV equation with high order nonlinearity ⋮ Traveling waves in a quintic BBM equation under both distributed delay and weak backward diffusion ⋮ Existence of traveling wave solutions for a generalized Burgers-Fisher equation with weak convection

Cites Work

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• Analysis and simulation of periodic and solitary waves in nonlinear dispersive-dissipative solids
• Existence of periodic waves for a perturbed quintic BBM equation
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• EXISTENCE OF SOLITARY WAVES AND PERIODIC WAVES TO A PERTURBED GENERALIZED KDV EQUATION

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