Persistence of solitary wave solutions of singularly perturbed Gardner equation

Yaning Tang, Wei Xu, Jianwei Shen and Liang Gao

Chaos, Solitons & Fractals, 2008, vol. 37, issue 2, 532-538

Abstract: The paper studies the singularly perturbed Gardner equation. Based on the relation between solitary wave solution and homoclinic orbits of the associated ordinary differential equations, the persistence of the solitary wave solution for the singularly perturbed Gardner equation is investigated using a geometric singular perturbation method. We show that the solitary wave solution exists when the perturbation parameter is sufficiently small.

Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:37:y:2008:i:2:p:532-538

DOI: 10.1016/j.chaos.2006.09.044

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