On a critical case of internal solitary waves in a two-layer fluid

被引：2

作者：

Choi, JW ^{[1
]}

Shen, MC ^{[1
]}

机构：

[1] UNIV WISCONSIN,DEPT MATH,MADISON,WI 53706

来源：

PHYSICS OF FLUIDS | 1997年 / 9卷 / 09期

关键词：

D O I：

10.1063/1.869388

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

This Brief Communication answers an unsettled question pointed out by Peters and Stoker [Commun. Pure Appl. Math 13, 115 (1960)] with regard to a critical case of a two-layer fluid flow with a free surface supported by a horizontal rigid bottom. In the critical case the coefficient of the nonlinear term in the Korteweg-deVries (KdV) equation vanishes and the KdV theory models only a parallel flow. By using higher-order asymptotic expansion, an extended and a modified KdV equation are derived and internal solitary waves and transition waves in the critical case are found. (C) 1997 American Institute of Physics.

引用

页码：2804 / 2806

页数：3

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