The twin properties of rogue waves and homoclinic solutions for some nonlinear wave equations-Reference-Cited by-同舟云学术

The twin properties of rogue waves and homoclinic solutions for some nonlinear wave equations

Published:2021-03-18 Issue:3-4 Volume:22 Page:409-417
ISSN:1565-1339
Container-title:International Journal of Nonlinear Sciences and Numerical Simulation
language:en
Short-container-title:

Author:

Tan Wei¹²,Yin Zhao-Yang¹

Affiliation:

1. Department of Mathematics , Sun Yat-sen University , Guangzhou 510275 , China

2. College of Mathematics and Statistics , Jishou University , Jishou 416000 , China

Abstract

Abstract The parameter limit method on the basis of Hirota’s bilinear method is proposed to construct the rogue wave solutions for nonlinear partial differential equations (NLPDEs). Some real and complex differential equations are used as concrete examples to illustrate the effectiveness and correctness of the described method. The rogue waves and homoclinic solutions of different structures are obtained and simulated by three-dimensional graphics, respectively. More importantly, we find that rogue wave solutions and homoclinic solutions appear in pairs. That is to say, for some NLPDEs, if there is a homoclinic solution, then there must be a rogue wave solution. The twin phenomenon of rogue wave solutions and homoclinic solutions of a class of NLPDEs is discussed.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Physics and Astronomy,Mechanics of Materials,Engineering (miscellaneous),Modeling and Simulation,Computational Mechanics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ijnsns-2018-0365/pdf

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