Exact solutions of travelling wave model via dynamical system method
type: Item
instance of: scholarly article
title: Exact solutions of travelling wave model via dynamical system method
zbMATH Open document ID: 1470.35341
DOI: 10.1155/2016/9290734
author: Heng Wang
author: Longwei Chen
author: Hongjiang Liu
published in: Abstract and Applied Analysis
publication date: 2018-08-30T00:00:00Z
review text: Summary: By using the method of dynamical system, the exact travelling wave solutions of the coupled nonlinear Schrödinger-Boussinesq equations are studied. Based on this method, the bounded exact travelling wave solutions are obtained which contain solitary wave solutions and periodic travelling wave solutions. The solitary wave solutions and periodic travelling wave solutions are expressed by the hyperbolic functions and the Jacobian elliptic functions, respectively. The results show that the presented findings improve the related previous conclusions. Furthermore, the numerical simulations of the solitary wave solutions and the periodic travelling wave solutions are given to show the correctness of our results.
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 35C07
Mathematics Subject Classification ID: 35Q53
zbMATH DE Number: 6929396
Wikidata QID: Q59121561
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/9290734
OpenAlex ID: W2277269733
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description: scientific article; zbMATH DE number 6929396