On the Small-Amplitude Long Waves in Linear Shear Flows and the Camassa-Holm Equation

被引：1

作者：

Ionescu-Kruse, Delia ^{[1
]}

机构：

[1] Romanian Acad, Simion Stoilow Inst Math, Res Unit 6, Bucharest 014700, Romania

来源：

JOURNAL OF MATHEMATICAL FLUID MECHANICS | 2014年 / 16卷 / 02期

关键词：

Linear shear flows; small-amplitude long waves; Camassa-Holm equation; variational methods; SHALLOW-WATER EQUATION; VARIATIONAL DERIVATION; CONSTANT VORTICITY; VIRASORO GROUP; SOLITONS;

D O I：

10.1007/s00021-013-0156-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We compare two linearizations used in the study of small-amplitude long waves on a constant vorticity flow. For the propagation of such waves, we derive, by a variational approach in the Lagrangian formalism, the nonlinear Camassa-Holm equation.

引用

页码：365 / 374

页数：10

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