Persistence of solitary wave solutions of singularly perturbed Gardner equation

Yaning Tang; Wei Xu; Jianwei Shen; Liang Gao

doi:10.1016/j.chaos.2006.09.044

Persistence of solitary wave solutions of singularly perturbed Gardner equation

Yaning Tang
, Wei Xu
, Jianwei Shen
, Liang Gao

School of Mathematics and Statistics

Northwestern Polytechnical University Xian
Xuchang University

Research output: Contribution to journal › Article › peer-review

24 Scopus citations

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.

Original language	English
Pages (from-to)	532-538
Number of pages	7
Journal	Chaos, Solitons and Fractals
Volume	37
Issue number	2
DOIs	https://doi.org/10.1016/j.chaos.2006.09.044
State	Published - Jul 2008

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title = "Persistence of solitary wave solutions of singularly perturbed Gardner equation",

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.",

author = "Yaning Tang and Wei Xu and Jianwei Shen and Liang Gao",

year = "2008",

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AU - Tang, Yaning

AU - Xu, Wei

AU - Shen, Jianwei

AU - Gao, Liang

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Y1 - 2008/7

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/40749152766

U2 - 10.1016/j.chaos.2006.09.044

DO - 10.1016/j.chaos.2006.09.044

M3 - 文章

AN - SCOPUS:40749152766

SN - 0960-0779

VL - 37

SP - 532

EP - 538

JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

IS - 2

ER -

Persistence of solitary wave solutions of singularly perturbed Gardner equation

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