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

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

2 Citations (Scopus)

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

Access to Document

10.1063/1.869388

Cite this

@article{f58bfc42bfee49dfa1a7723ee539a7bc,

title = "On a critical case of internal solitary waves in a two-layer fluid",

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.",

author = "Choi, {J. W.} and Shen, {M. C.}",

year = "1997",

month = sep,

doi = "10.1063/1.869388",

language = "English",

volume = "9",

pages = "2804--2806",

journal = "Physics of Fluids",

issn = "1070-6631",

publisher = "American Institute of Physics",

number = "9",

}

TY - JOUR

T1 - On a critical case of internal solitary waves in a two-layer fluid

AU - Choi, J. W.

AU - Shen, M. C.

PY - 1997/9

Y1 - 1997/9

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0030725303&partnerID=8YFLogxK

U2 - 10.1063/1.869388

DO - 10.1063/1.869388

M3 - Article

AN - SCOPUS:0030725303

SN - 1070-6631

VL - 9

SP - 2804

EP - 2806

JO - Physics of Fluids

JF - Physics of Fluids

IS - 9

ER -

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

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this