New Rational Homoclinic and Rogue Waves for Davey-Stewartson Equation-Reference-Cited by-同舟云学术

New Rational Homoclinic and Rogue Waves for Davey-Stewartson Equation

Published:2014 Issue: Volume:2014 Page:1-8
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Liu Changfu¹^ORCID,Wang Chuanjian²^ORCID,Dai Zhengde³,Liu Jun⁴

Affiliation:

1. School of Mathematics, Wenshan University, Wenshan 663000, China

2. School of Science, Kunming University of Science and Technology, Kunming 650031, China

3. School of Mathematics and Statistics, Yunnan University, Kunming 650091, China

4. Department of Mathematics and Information Science, Qujing Normal University, Qujing 655000, China

Abstract

A new method, homoclinic breather limit method (HBLM), for seeking rogue wave solution of nonlinear evolution equation is proposed. A new family of homoclinic breather wave solution, and rational homoclinic solution (homoclinic rogue wave) for DSI and DSII equations are obtained using the extended homoclinic test method and homoclinic breather limit method (HBLM), respectively. Moreover, rogue wave solution is exhibited as period of periodic wave in homoclinic breather wave approaches to infinite. This result shows that rogue wave can be generated by extreme behavior of homoclinic breather wave for higher dimensional nonlinear wave fields.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2014/572863.pdf

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