Asymptotic Integrability of Water Waves.
Asymptotic Integrability of Water Waves.
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DOI：
10.1103/physrevlett.77.2347
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发表时间：
1996-09
影响因子：
8.6
通讯作者：
Fokas;Liu
中科院分区：
文献类型：
--
作者：
Fokas;Liu
理想化水波的渐近可积性正式成立。即，表明在小振幅、长波极限下，存在将这些方程映射到两个可积方程组的显式变换。它还表明，主对称性和双哈密尔顿结构的概念可用于获得其他物理系统的类似结果。
The asymptotic integrability of the idealized water waves is formally established. Namely, it is shown that in the small amplitude, long wave limit there exists an explicit transformation which maps these equations to a system of two integrable equations. It is also shown that the concepts of master symmetries and of bi-Hamiltonian structures can be used to obtain similar results for other physical systems.