Rogue Waves and New Multi-wave Solutions of the (2+1)-Dimensional Ito Equation-Reference-Cited by-同舟云学术

Rogue Waves and New Multi-wave Solutions of the (2+1)-Dimensional Ito Equation

Published:2015-05-09 Issue:6 Volume:70 Page:437-443
ISSN:1865-7109
Container-title:Zeitschrift für Naturforschung A
language:en
Short-container-title:

Author:

Tian Ying-hui¹,Dai Zheng-de²

Affiliation:

1. School of Science, Southwest University of Science and Technology, Mianyang 621010, PR China

2. School of Mathematics and Physics, Yunnan University, Kunming 650091, PR China

Abstract

Abstract A three-soliton limit method (TSLM) for seeking rogue wave solutions to nonlinear evolution equation (NEE) is proposed. The (2+1)-dimensional Ito equation is used as an example to illustrate the effectiveness of the method. As a result, two rogue waves and a family of new multi-wave solutions are obtained. The result shows that rogue wave can be obtained not only from extreme form of breather solitary wave but also from extreme form of double-breather solitary wave. This is a new and interesting discovery.

Publisher

Walter de Gruyter GmbH

Subject

Physical and Theoretical Chemistry,General Physics and Astronomy,Mathematical Physics

Link

https://www.degruyter.com/document/doi/10.1515/zna-2014-0292/pdf

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