Asymptotic integrability of water waves

被引：115
作者：
Fokas, AS
Liu, QM
机构：
[1] CLARKSON UNIV, INST NONLINEAR STUDIES, POTSDAM, NY 13699 USA
[2] CLARKSON UNIV, DEPT MATH & COMP SCI, POTSDAM, NY 13699 USA
来源：
PHYSICAL REVIEW LETTERS | 1996年 / 77卷 / 12期
关键词：
D O I：
10.1103/PhysRevLett.77.2347
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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.
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页码：2347 / 2351
页数：5
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