New rational homoclinic and rogue waves for Davey-Stewartson equation
type: Item
instance of: scholarly article
title: New rational homoclinic and rogue waves for Davey-Stewartson equation
zbMATH Open document ID: 1474.35587
DOI: 10.1155/2014/572863
author: Changfu Liu
author: Chuanjian Wang
author: Zhengde Dai
author: Jun Liu
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 35B10
Mathematics Subject Classification ID: 35L70
zbMATH DE Number: 7022637
Wikidata QID: Q59039564
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/572863
OpenAlex ID: W2029784544
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description: scientific article; zbMATH DE number 7022637