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: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2016/9290734 |
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| _version_ | 1832562729547726848 |
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| author | Heng Wang Longwei Chen Hongjiang Liu |
| author_facet | Heng Wang Longwei Chen Hongjiang Liu |
| author_sort | Heng Wang |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-4640a5cdb7704d25b059785d07dd5dfe |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-4640a5cdb7704d25b059785d07dd5dfe2025-02-03T01:21:53ZengWileyAbstract 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 |
| spellingShingle | Heng Wang Longwei Chen Hongjiang Liu Exact Solutions of Travelling Wave Model via Dynamical System Method Abstract and Applied Analysis |
| title | 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_short | Exact Solutions of Travelling Wave Model via Dynamical System Method |
| title_sort | exact solutions of travelling wave model via dynamical system method |
| url | http://dx.doi.org/10.1155/2016/9290734 |
| work_keys_str_mv | AT hengwang exactsolutionsoftravellingwavemodelviadynamicalsystemmethod AT longweichen exactsolutionsoftravellingwavemodelviadynamicalsystemmethod AT hongjiangliu exactsolutionsoftravellingwavemodelviadynamicalsystemmethod |