Orbital Stability of Solitary Traveling Waves of Moderate Amplitude
We consider the orbital stability of solitary traveling wave solutions of an equation describing the free surface waves of moderate amplitude in the shallow water regime. Firstly, we rewrite this equation in Hamiltonian form and construct two invariants of motion. Then using the abstract stability t...
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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/10.1155/2015/925715 |
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| _version_ | 1849403612272263168 |
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| author | Zhengyong Ouyang |
| author_facet | Zhengyong Ouyang |
| author_sort | Zhengyong Ouyang |
| collection | DOAJ |
| description | We consider the orbital stability of solitary traveling wave solutions of an equation describing the free surface waves of moderate amplitude in the shallow water regime. Firstly, we rewrite this equation in Hamiltonian form and construct two invariants of motion. Then using the abstract stability theorem of solitary waves proposed by Grillakis et al. (1987), we prove that the solitary traveling waves of the equation under consideration are orbital stable. |
| format | Article |
| id | doaj-art-849b274fd027400bbd55adc5ff02552a |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-849b274fd027400bbd55adc5ff02552a2025-08-20T03:37:12ZengWileyAdvances in Mathematical Physics1687-91201687-91392015-01-01201510.1155/2015/925715925715Orbital Stability of Solitary Traveling Waves of Moderate AmplitudeZhengyong Ouyang0Department of Mathematics, Foshan University, Foshan, Guangdong 528000, ChinaWe consider the orbital stability of solitary traveling wave solutions of an equation describing the free surface waves of moderate amplitude in the shallow water regime. Firstly, we rewrite this equation in Hamiltonian form and construct two invariants of motion. Then using the abstract stability theorem of solitary waves proposed by Grillakis et al. (1987), we prove that the solitary traveling waves of the equation under consideration are orbital stable.http://dx.doi.org/10.1155/2015/925715 |
| spellingShingle | Zhengyong Ouyang Orbital Stability of Solitary Traveling Waves of Moderate Amplitude Advances in Mathematical Physics |
| title | Orbital Stability of Solitary Traveling Waves of Moderate Amplitude |
| title_full | Orbital Stability of Solitary Traveling Waves of Moderate Amplitude |
| title_fullStr | Orbital Stability of Solitary Traveling Waves of Moderate Amplitude |
| title_full_unstemmed | Orbital Stability of Solitary Traveling Waves of Moderate Amplitude |
| title_short | Orbital Stability of Solitary Traveling Waves of Moderate Amplitude |
| title_sort | orbital stability of solitary traveling waves of moderate amplitude |
| url | http://dx.doi.org/10.1155/2015/925715 |
| work_keys_str_mv | AT zhengyongouyang orbitalstabilityofsolitarytravelingwavesofmoderateamplitude |