EXISTENCE OF SOLITARY WAVES AND PERIODIC WAVES TO A PERTURBED GENERALIZED KDV EQUATION-Reference-Cited by-同舟云学术

EXISTENCE OF SOLITARY WAVES AND PERIODIC WAVES TO A PERTURBED GENERALIZED KDV EQUATION

Published:2014-09-01 Issue:4 Volume:19 Page:537-555
ISSN:1392-6292
Container-title:Mathematical Modelling and Analysis
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Author:

Yan Weifang¹,Liu Zhengrong²,Liang Yong²

Affiliation:

1. School of Mathematics and Statistics Science, Ludong University 264025 Yantai, China

2. Department of Mathematics, South China University of Technology 510640 Guangzhou, China

Abstract

In this paper, the existence of solitary waves and periodic waves to a perturbed generalized KdV equation is established by applying the geometric singular perturbation theory and the regular perturbation analysis for a Hamiltonian system. Moreover, upper and lower bounds of the limit wave speed are obtained. Some previous results are extended.

Publisher

Vilnius Gediminas Technical University

Subject

Modeling and Simulation,Analysis

Reference19 articles.

1. Solitons and the Inverse Scattering Transform

2. Singularity formation and blowup of complex-valued solutions of the modified KdV equation

3. On uniqueness properties of solutions of the k-generalized KdV equations

4. The existence of solitary waves of singularly perturbed mKdV–KS equation

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