Bifurcation Analysis and Different Kinds of Exact Travelling Wave Solutions of a Generalized Two-Component Hunter-Saxton System
This paper focuses on a generalized two-component Hunter-Saxton system. From a dynamic point of view, the existence of different kinds of periodic wave, solitary wave, and blow-up wave is proved and the sufficient conditions to guarantee the existence of the above solutions in different regions of t...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2014/379109 |
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| _version_ | 1832555557177786368 |
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| author | Qing Meng Bin He |
| author_facet | Qing Meng Bin He |
| author_sort | Qing Meng |
| collection | DOAJ |
| description | This paper focuses on a generalized two-component Hunter-Saxton system. From a dynamic point of view, the existence of different kinds of periodic wave, solitary wave, and blow-up wave is proved and the sufficient conditions to guarantee the existence of the above solutions in different regions of the parametric space are given. Also, some exact parametric representations of the travelling waves are presented. |
| format | Article |
| id | doaj-art-aeeea3d28c6346fa911bb4b03c01cfb6 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-aeeea3d28c6346fa911bb4b03c01cfb62025-02-03T05:47:55ZengWileyAdvances in Mathematical Physics1687-91201687-91392014-01-01201410.1155/2014/379109379109Bifurcation Analysis and Different Kinds of Exact Travelling Wave Solutions of a Generalized Two-Component Hunter-Saxton SystemQing Meng0Bin He1Department of Physics, Honghe University, Mengzi, Yunnan 661100, ChinaCollege of Mathematics, Honghe University, Mengzi, Yunnan 661100, ChinaThis paper focuses on a generalized two-component Hunter-Saxton system. From a dynamic point of view, the existence of different kinds of periodic wave, solitary wave, and blow-up wave is proved and the sufficient conditions to guarantee the existence of the above solutions in different regions of the parametric space are given. Also, some exact parametric representations of the travelling waves are presented.http://dx.doi.org/10.1155/2014/379109 |
| spellingShingle | Qing Meng Bin He Bifurcation Analysis and Different Kinds of Exact Travelling Wave Solutions of a Generalized Two-Component Hunter-Saxton System Advances in Mathematical Physics |
| title | Bifurcation Analysis and Different Kinds of Exact Travelling Wave Solutions of a Generalized Two-Component Hunter-Saxton System |
| title_full | Bifurcation Analysis and Different Kinds of Exact Travelling Wave Solutions of a Generalized Two-Component Hunter-Saxton System |
| title_fullStr | Bifurcation Analysis and Different Kinds of Exact Travelling Wave Solutions of a Generalized Two-Component Hunter-Saxton System |
| title_full_unstemmed | Bifurcation Analysis and Different Kinds of Exact Travelling Wave Solutions of a Generalized Two-Component Hunter-Saxton System |
| title_short | Bifurcation Analysis and Different Kinds of Exact Travelling Wave Solutions of a Generalized Two-Component Hunter-Saxton System |
| title_sort | bifurcation analysis and different kinds of exact travelling wave solutions of a generalized two component hunter saxton system |
| url | http://dx.doi.org/10.1155/2014/379109 |
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