Wave-breaking phenomenon for a generalized spatially periodic Camassa-Holm system
Considered herein is a generalized two‐component Camassa–Holm system in spatially periodic setting. We first prove two conservation laws; then under proper assumptions on the initial data, we show the precise blow‐up scenarios and sufficient conditions guaranteeing the formation of singularities to...
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| Veröffentlicht in: | Mathematical methods in the applied sciences 2015-05, Vol.38 (7), p.1405-1417 |
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| container_title | Mathematical methods in the applied sciences |
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| creator | Yu, Shengqi |
| description | Considered herein is a generalized two‐component Camassa–Holm system in spatially periodic setting. We first prove two conservation laws; then under proper assumptions on the initial data, we show the precise blow‐up scenarios and sufficient conditions guaranteeing the formation of singularities to the solutions of the generalized Camassa–Holm system. Copyright © 2014 John Wiley & Sons, Ltd. |
| doi_str_mv | 10.1002/mma.3155 |
| format | Article |
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We first prove two conservation laws; then under proper assumptions on the initial data, we show the precise blow‐up scenarios and sufficient conditions guaranteeing the formation of singularities to the solutions of the generalized Camassa–Holm system. 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| ispartof | Mathematical methods in the applied sciences, 2015-05, Vol.38 (7), p.1405-1417 |
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| subjects | blow up Conservation laws Fluid dynamics Formations Mathematical analysis Partial differential equations Singularities two-component μ-CH system |
| title | Wave-breaking phenomenon for a generalized spatially periodic Camassa-Holm system |
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