AN INTEGRABLE SHALLOW-WATER EQUATION WITH PEAKED SOLITONS

被引：2923

作者：

CAMASSA, R ^{[1
]}

HOLM, DD ^{[1
]}

机构：

[1] LOS ALAMOS NATL LAB,CTR NONLINEAR STUDIES,LOS ALAMOS,NM 87545

来源：

PHYSICAL REVIEW LETTERS | 1993年 / 71卷 / 11期

关键词：

D O I：

10.1103/PhysRevLett.71.1661

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We derive a new completely integrable dispersive shallow water equation that is bi-Hamiltonian and thus possesses an infinite number of conservation laws in involution. The equation is obtained by using an asymptotic expansion directly in the Hamiltonian for Euler's equations in the shallow water regime. The soliton solution for this equation has a limiting form that has a discontinuity in the first derivative at its peak.

引用

页码：1661 / 1664

页数：4