Solitary waves and periodic waves in a perturbed KdV equation

DOI10.1007/s12346-020-00418-wzbMath1454.34053OpenAlexW3081775939MaRDI QIDQ2006999

Hongquan Sun, Hong Li, Wenjing Zhu

Publication date: 12 October 2020

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-020-00418-w

zbMATH Keywords

Chebyshev systemKdV equationtraveling waveabelian integral

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) KdV equations (Korteweg-de Vries equations) (35Q53) Bifurcation theory for ordinary differential equations (34C23) Singular perturbations for ordinary differential equations (34E15) Ordinary differential equations and connections with real algebraic geometry (fewnomials, desingularization, zeros of abelian integrals, etc.) (34C08) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Traveling wave solutions (35C07)

Related Items (3)

Traveling waves of delayed Zakharov-Kuznetsov Kuramoto-Sivashinsky equation ⋮ Existence of traveling wave solutions for the perturbed modefied Gardner equation ⋮ Dynamics of traveling waves for the perturbed generalized KdV equation

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