A Synthetical Two‐Component Model with Peakon Solutions
A Synthetical Two‐Component Model with Peakon Solutions
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DOI：
10.1111/sapm.12085
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发表时间：
2013-01
影响因子：
2.7
通讯作者：
B. Xia;Z. Qiao;Ruguang Zhou
中科院分区：
文献类型：
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作者：
B. Xia;Z. Qiao;Ruguang Zhou
本文提出了一个广义双组分模型的峰态解。它允许一个任意的函数参与，以及包括一些现有的可积峰子方程作为特殊的约化。广义二分量系统具有Lax对和无穷多个守恒律。对于广义系统的典型代表方程，详细讨论了双哈密顿结构和峰子相互作用.特别地，从广义系统中得到了一种新的非行波型N峰子解。
A generalized two‐component model with peakon solutions is proposed in this paper. It allows an arbitrary function to be involved in as well as including some existing integrable peakon equations as special reductions. The generalized two‐component system is shown to possess Lax pair and infinitely many conservation laws. Bi‐Hamiltonian structures and peakon interactions are discussed in detail for typical representative equations of the generalized system. In particular, a new type of N‐peakon solution, which is not in the traveling wave type, is obtained from the generalized system.