Global Conservative and Multipeakon Conservative Solutions for the Modified Camassa-Holm System with Coupling Effects
This paper investigates the continuation of solutions to the modified coupled two-component Camassa-Holm system after wave breaking. The underlying problem is rather challenging due to the mutual coupling effect between two components in the system. By introducing a novel transformation that makes u...
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| Veröffentlicht in: | Mathematical problems in engineering 2014-01, Vol.2014 (1) |
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| creator | Wen, Huabin Wang, Yujuan Song, Yongduan Karimi, Hamid Reza |
| description | This paper investigates the continuation of solutions to the modified coupled two-component Camassa-Holm system after wave breaking. The underlying problem is rather challenging due to the mutual coupling effect between two components in the system. By introducing a novel transformation that makes use of a skillfully defined characteristic and a set of newly defined variables, the original system is converted into a Lagrangian equivalent system, from which the global conservative solution is obtained, which further allows for the establishment of the multipeakon conservative solution of the system. The results obtained herein are deemed useful for understanding the inevitable phenomenon near wave breaking. |
| doi_str_mv | 10.1155/2014/606249 |
| format | Article |
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The underlying problem is rather challenging due to the mutual coupling effect between two components in the system. By introducing a novel transformation that makes use of a skillfully defined characteristic and a set of newly defined variables, the original system is converted into a Lagrangian equivalent system, from which the global conservative solution is obtained, which further allows for the establishment of the multipeakon conservative solution of the system. 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| language | eng |
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| source | Wiley-Blackwell Open Access Titles; EZB-FREE-00999 freely available EZB journals; Alma/SFX Local Collection |
| subjects | Equivalence Fluid dynamics Joining Mathematical analysis Meteorology Mutual coupling Partial differential equations Surface acoustic waves Transformations (mathematics) Wave breaking |
| title | Global Conservative and Multipeakon Conservative Solutions for the Modified Camassa-Holm System with Coupling Effects |
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