Exact Solutions of Travelling Wave Model via Dynamical System Method

Exact Solutions of Travelling Wave Model via Dynamical System Method

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 soluti...

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Main Authors: Heng Wang, Longwei Chen, Hongjiang Liu
Format: Article
Language:English
Published: Hindawi Limited 2016-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2016/9290734
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spelling doaj-4640a5cdb7704d25b059785d07dd5dfe2020-11-24T22:24:37ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092016-01-01201610.1155/2016/92907349290734Exact Solutions of Travelling Wave Model via Dynamical System MethodHeng Wang0Longwei Chen1Hongjiang Liu2College of Statistics and Mathematics, Yunnan University of Finance and Economics, Kunming, Yunnan 650021, ChinaCollege of Statistics and Mathematics, Yunnan University of Finance and Economics, Kunming, Yunnan 650021, ChinaCity and Environment College, Yunnan University of Finance and Economics, Kunming, Yunnan 650021, ChinaBy 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.http://dx.doi.org/10.1155/2016/9290734
collection DOAJ
language English
format Article
sources DOAJ
author Heng Wang
Longwei Chen
Hongjiang Liu
spellingShingle Heng Wang
Longwei Chen
Hongjiang Liu
Exact Solutions of Travelling Wave Model via Dynamical System Method
Abstract and Applied Analysis
author_facet Heng Wang
Longwei Chen
Hongjiang Liu
author_sort Heng Wang
title Exact Solutions of Travelling Wave Model via Dynamical System Method
title_short Exact Solutions of Travelling Wave Model via Dynamical System Method
title_full Exact Solutions of Travelling Wave Model via Dynamical System Method
title_fullStr Exact Solutions of Travelling Wave Model via Dynamical System Method
title_full_unstemmed Exact Solutions of Travelling Wave Model via Dynamical System Method
title_sort exact solutions of travelling wave model via dynamical system method
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2016-01-01
description 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.
url http://dx.doi.org/10.1155/2016/9290734
work_keys_str_mv AT hengwang exactsolutionsoftravellingwavemodelviadynamicalsystemmethod
AT longweichen exactsolutionsoftravellingwavemodelviadynamicalsystemmethod
AT hongjiangliu exactsolutionsoftravellingwavemodelviadynamicalsystemmethod
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