Geometric singular perturbation method to the existence and asymptotic behavior of traveling waves for a generalized Burgers-KdV equation

DOI10.1007/s11071-015-2309-5zbMath1349.37071OpenAlexW2179479875MaRDI QIDQ331195

Lei Wei, Ying Xu, Zeng-Ji Du

Publication date: 26 October 2016

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

Full work available at URL: https://doi.org/10.1007/s11071-015-2309-5

zbMATH Keywords

asymptotic behaviorheteroclinic orbitstraveling wave solutionBurgers-KdV equationgeometric singular perturbation method

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) Traveling wave solutions (35C07)

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