SOLITARY WAVES IN STRATIFIED FLUIDS AND THEIR INTERACTION

被引：0

作者：

易家训 ^{[1
]}

机构：

[1] The University of Michigan, Ann Arbor, Michigan 48109, USA

来源：

Acta Mechanica Sinica | 1993年 / 03期

关键词：

internal solitary waves; stratified liquids; exponential stratification; linear stratification; systematic use of the solubility condition in successive approximations; interaction of internal solitary waves; detailed derivation of the KdV equa;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

A systematic procedure is proposed for obtaining solutions for soli-tary waves in stratified fluids. The stratification of the fluid is assumed to be expo-nential or linear. Its comparison with existing results for an exponentially stratifiedfluid shows agreement, and it is found that for the odd series of solutions the direc-tion of displacement of the streamlines from their asymptotic levels is reversed whenthe stratification is changed from exponential to linear. Finally the interaction ofsolitary waves is considered, and the Korteweg-de Vries equation and the Boussinesqequation are derived. Thus the known solutions of these equations can be rehed uponto provide the answers to the interaction problem.

引用

页码：193 / 209

页数：17

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