Numerical stability of symmetric solitary-wave-like waves of a two-layer fluid - Forced modified KdV equation

Hongjoong Kim; Won Soung Bae; Jeongwhan Choi

doi:10.1016/j.matcom.2011.08.001

Numerical stability of symmetric solitary-wave-like waves of a two-layer fluid - Forced modified KdV equation

Hongjoong Kim, Won Soung Bae, Jeongwhan Choi

Department of Mathematics

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

5 Citations (Scopus)

Abstract

Forced internal waves at the interface of a two-layer incompressible fluid in a two-dimensional domain with rigid horizontal boundaries are studied. The lower boundary is assumed to have a small obstruction. We derive a time-dependent forced modified KdV equation when the KdV theory fails and study the stabilities of four types of symmetric time-independent solitary-wave-like solutions numerically.

Original language	English
Pages (from-to)	1219-1227
Number of pages	9
Journal	Mathematics and Computers in Simulation
Volume	82
Issue number	7
DOIs	https://doi.org/10.1016/j.matcom.2011.08.001
Publication status	Published - 2012 Mar

Keywords

Forced modified KdV
Numerical stability
Solitary waves

ASJC Scopus subject areas

Theoretical Computer Science
Computer Science(all)
Numerical Analysis
Modelling and Simulation
Applied Mathematics

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10.1016/j.matcom.2011.08.001

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title = "Numerical stability of symmetric solitary-wave-like waves of a two-layer fluid - Forced modified KdV equation",

abstract = "Forced internal waves at the interface of a two-layer incompressible fluid in a two-dimensional domain with rigid horizontal boundaries are studied. The lower boundary is assumed to have a small obstruction. We derive a time-dependent forced modified KdV equation when the KdV theory fails and study the stabilities of four types of symmetric time-independent solitary-wave-like solutions numerically.",

keywords = "Forced modified KdV, Numerical stability, Solitary waves",

author = "Hongjoong Kim and Bae, {Won Soung} and Jeongwhan Choi",

note = "Funding Information: The authors are grateful to the anonymous referees for their valuable comments and suggestions. This research of Kim was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology ( 2010-0012584 ).",

year = "2012",

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doi = "10.1016/j.matcom.2011.08.001",

language = "English",

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TY - JOUR

T1 - Numerical stability of symmetric solitary-wave-like waves of a two-layer fluid - Forced modified KdV equation

AU - Kim, Hongjoong

AU - Bae, Won Soung

AU - Choi, Jeongwhan

N1 - Funding Information: The authors are grateful to the anonymous referees for their valuable comments and suggestions. This research of Kim was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology ( 2010-0012584 ).

PY - 2012/3

Y1 - 2012/3

N2 - Forced internal waves at the interface of a two-layer incompressible fluid in a two-dimensional domain with rigid horizontal boundaries are studied. The lower boundary is assumed to have a small obstruction. We derive a time-dependent forced modified KdV equation when the KdV theory fails and study the stabilities of four types of symmetric time-independent solitary-wave-like solutions numerically.

AB - Forced internal waves at the interface of a two-layer incompressible fluid in a two-dimensional domain with rigid horizontal boundaries are studied. The lower boundary is assumed to have a small obstruction. We derive a time-dependent forced modified KdV equation when the KdV theory fails and study the stabilities of four types of symmetric time-independent solitary-wave-like solutions numerically.

KW - Forced modified KdV

KW - Numerical stability

KW - Solitary waves

UR - http://www.scopus.com/inward/record.url?scp=84859434914&partnerID=8YFLogxK

U2 - 10.1016/j.matcom.2011.08.001

DO - 10.1016/j.matcom.2011.08.001

M3 - Article

AN - SCOPUS:84859434914

SN - 0378-4754

VL - 82

SP - 1219

EP - 1227

JO - Mathematics and Computers in Simulation

JF - Mathematics and Computers in Simulation

IS - 7

ER -

Numerical stability of symmetric solitary-wave-like waves of a two-layer fluid - Forced modified KdV equation

Abstract

Keywords

ASJC Scopus subject areas

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