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
收藏
页码：2804 / 2806
页数：3
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