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

Jeongwhan Choi, M. C. Shen

Research output: Contribution to journalArticle

1 Citation (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 languageEnglish
Pages (from-to)2804-2806
Number of pages3
JournalPhysics of Fluids
Volume9
Issue number9
Publication statusPublished - 1997 Sep 1

Fingerprint

Korteweg-Devries equation
Stokers
Parallel flow
Solitons
Flow of fluids
solitary waves
parallel flow
Fluids
fluids
Communication
fluid flow
communication
expansion
coefficients

ASJC Scopus subject areas

  • Fluid Flow and Transfer Processes
  • Computational Mechanics
  • Mechanics of Materials
  • Physics and Astronomy(all)
  • Condensed Matter Physics

Cite this

On a critical case of internal solitary waves in a two-layer fluid. / Choi, Jeongwhan; Shen, M. C.

In: Physics of Fluids, Vol. 9, No. 9, 01.09.1997, p. 2804-2806.

Research output: Contribution to journalArticle

@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 = "Jeongwhan Choi and Shen, {M. C.}",
year = "1997",
month = "9",
day = "1",
language = "English",
volume = "9",
pages = "2804--2806",
journal = "Physics of Fluids",
issn = "1070-6631",
publisher = "American Institute of Physics Publising LLC",
number = "9",

}

TY - JOUR

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

AU - Choi, Jeongwhan

AU - Shen, M. C.

PY - 1997/9/1

Y1 - 1997/9/1

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

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

M3 - Article

VL - 9

SP - 2804

EP - 2806

JO - Physics of Fluids

JF - Physics of Fluids

SN - 1070-6631

IS - 9

ER -