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

J. W. Choi; M. C. Shen

doi:10.1063/1.869388

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

J. W. Choi, M. C. Shen

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	2804-2806
Number of pages	3
Journal	Physics of Fluids
Volume	9
Issue number	9
DOIs	https://doi.org/10.1063/1.869388
Publication status	Published - 1997 Sept

ASJC Scopus subject areas

Computational Mechanics
Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering
Fluid Flow and Transfer Processes

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

Abstract

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