Bifurcation of Traveling Wave Solutions of the Dual Ito Equation-Reference-Cited by-同舟云学术

Bifurcation of Traveling Wave Solutions of the Dual Ito Equation

Published:2014 Issue: Volume:2014 Page:1-9
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Fan Xinghua¹^ORCID,Li Shasha¹

Affiliation:

1. Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu 212013, China

Abstract

The dual Ito equation can be seen as a two-component generalization of the well-known Camassa-Holm equation. By using the theory of planar dynamical system, we study the existence of its traveling wave solutions. We find that the dual Ito equation has smooth solitary wave solutions, smooth periodic wave solutions, and periodic cusp solutions. Parameter conditions are given to guarantee the existence.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2014/153139.pdf

Reference24 articles.

1. Global existence and blow-up phenomena for an integrable two-component Camassa–Holm shallow water system

2. On the global existence and wave-breaking criteria for the two-component Camassa–Holm system

3. On smooth traveling waves of an integrable two-component Camassa–Holm shallow water system

4. On an integrable two-component Camassa–Holm shallow water system

5. Bifurcations of travelling wave solutions for a two-component camassa-holm equation

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