On Solitary Waves and Wave-Breaking Phenomena for a Generalized Two-Component Integrable Dullin–Gottwald–Holm System
On Solitary Waves and Wave-Breaking Phenomena for a Generalized Two-Component Integrable Dullin–Gottwald–Holm System
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DOI：
10.1007/s00332-012-9163-0
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发表时间：
2013-01
影响因子：
3
通讯作者：
Yanwu Han;F. Guo;Hongjun Gao
中科院分区：
文献类型：
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作者：
Yanwu Han;F. Guo;Hongjun Gao
本文研究了一个广义的两分量可积Dullin-Gottwald-霍尔姆系统，它可以由浅水波在线性剪切流中运动时的常涡量Euler方程导出。我们首先推导出该系统在浅水区。我们接下来对该系统的所有行波解进行分类。最后，我们研究了爆破机制，给出了两个保证波破碎的充分条件。
We study here a generalized two-component integrable Dullin–Gottwald–Holm system, which can be derived from the Euler equation with constant vorticity in shallow water waves moving over a linear shear flow. We first derive this system in the shallow-water regime. We next classify all traveling wave solution of this system. Finally, we study the blow-up mechanism and give two sufficient conditions which can guarantee wave-breaking phenomena.