Stability of Negative Solitary Waves for a Generalized Camassa-Holm Equation with Quartic Nonlinearity
We consider the stability of negative solitary waves to a generalized Camassa-Holm equation with quartic nonlinearity. We obtain the existence of negative solitary waves for any wave speed c>0 and some of their qualitative properties and then prove that they are orbitally stable by using a method...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2015/789269 |
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| _version_ | 1850217810031017984 |
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| author | Shan Zheng Zhengyong Ouyang |
| author_facet | Shan Zheng Zhengyong Ouyang |
| author_sort | Shan Zheng |
| collection | DOAJ |
| description | We consider the stability of negative solitary waves to a generalized Camassa-Holm equation with quartic nonlinearity. We obtain the existence of negative solitary waves for any wave speed c>0 and some of their qualitative properties and then prove that they are orbitally stable by using a method proposed by Grillakis et al. |
| format | Article |
| id | doaj-art-381fe5efa3054dafaeabff156a7dcda8 |
| institution | OA Journals |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-381fe5efa3054dafaeabff156a7dcda82025-08-20T02:07:58ZengWileyAdvances in Mathematical Physics1687-91201687-91392015-01-01201510.1155/2015/789269789269Stability of Negative Solitary Waves for a Generalized Camassa-Holm Equation with Quartic NonlinearityShan Zheng0Zhengyong Ouyang1Department of Basic Courses, Guangzhou Maritime Institute, Guangdong 510725, ChinaDepartment of Mathematics, Foshan University, Guangdong 528000, ChinaWe consider the stability of negative solitary waves to a generalized Camassa-Holm equation with quartic nonlinearity. We obtain the existence of negative solitary waves for any wave speed c>0 and some of their qualitative properties and then prove that they are orbitally stable by using a method proposed by Grillakis et al.http://dx.doi.org/10.1155/2015/789269 |
| spellingShingle | Shan Zheng Zhengyong Ouyang Stability of Negative Solitary Waves for a Generalized Camassa-Holm Equation with Quartic Nonlinearity Advances in Mathematical Physics |
| title | Stability of Negative Solitary Waves for a Generalized Camassa-Holm Equation with Quartic Nonlinearity |
| title_full | Stability of Negative Solitary Waves for a Generalized Camassa-Holm Equation with Quartic Nonlinearity |
| title_fullStr | Stability of Negative Solitary Waves for a Generalized Camassa-Holm Equation with Quartic Nonlinearity |
| title_full_unstemmed | Stability of Negative Solitary Waves for a Generalized Camassa-Holm Equation with Quartic Nonlinearity |
| title_short | Stability of Negative Solitary Waves for a Generalized Camassa-Holm Equation with Quartic Nonlinearity |
| title_sort | stability of negative solitary waves for a generalized camassa holm equation with quartic nonlinearity |
| url | http://dx.doi.org/10.1155/2015/789269 |
| work_keys_str_mv | AT shanzheng stabilityofnegativesolitarywavesforageneralizedcamassaholmequationwithquarticnonlinearity AT zhengyongouyang stabilityofnegativesolitarywavesforageneralizedcamassaholmequationwithquarticnonlinearity |