WKB analysis for the three coupled long wave–short wave interaction equations

Gulcin M. Muslu; Chi Kun Lin

doi:10.1080/00036811.2018.1538503

WKB analysis for the three coupled long wave–short wave interaction equations

Gulcin M. Muslu^*
, Chi Kun Lin

^*Bu çalışma için yazışmadan sorumlu yazar

Matematik Bölümü

Xi'an Jiaotong-Liverpool University

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

1 Atıf (Scopus)

Özet

This paper is devoted to the WKB analysis of the three coupled long wave–short wave interaction (LSI for short) equations. We consider the zero-dispersion limit of the LSI for initial data with Sobolev regularity, before the shocks appear in the limit system. For the smooth solution, the limit system is given by the two fluids equations. The split-step Fourier method is also employed to justify the numerical simulation of the small dispersion limit.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	1507-1527
Sayfa sayısı	21
Dergi	Applicable Analysis
Hacim	99
Basın numarası	9
DOI'lar	https://doi.org/10.1080/00036811.2018.1538503
Yayın durumu	Yayınlandı - 3 Tem 2020

Bibliyografik not

Publisher Copyright:
© 2018, © 2018 Informa UK Limited, trading as Taylor & Francis Group.

Belgeye Erişim

10.1080/00036811.2018.1538503

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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title = "WKB analysis for the three coupled long wave–short wave interaction equations",

abstract = "This paper is devoted to the WKB analysis of the three coupled long wave–short wave interaction (LSI for short) equations. We consider the zero-dispersion limit of the LSI for initial data with Sobolev regularity, before the shocks appear in the limit system. For the smooth solution, the limit system is given by the two fluids equations. The split-step Fourier method is also employed to justify the numerical simulation of the small dispersion limit.",

keywords = "dispersive perturbation, long wave, quasilinear hyperbolic system, short wave, split-step Fourier method, WKB analysis",

author = "Muslu, \{Gulcin M.\} and Lin, \{Chi Kun\}",

note = "Publisher Copyright: {\textcopyright} 2018, {\textcopyright} 2018 Informa UK Limited, trading as Taylor \& Francis Group.",

year = "2020",

month = jul,

day = "3",

doi = "10.1080/00036811.2018.1538503",

language = "English",

volume = "99",

pages = "1507--1527",

journal = "Applicable Analysis",

issn = "0003-6811",

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TY - JOUR

T1 - WKB analysis for the three coupled long wave–short wave interaction equations

AU - Muslu, Gulcin M.

AU - Lin, Chi Kun

PY - 2020/7/3

Y1 - 2020/7/3

N2 - This paper is devoted to the WKB analysis of the three coupled long wave–short wave interaction (LSI for short) equations. We consider the zero-dispersion limit of the LSI for initial data with Sobolev regularity, before the shocks appear in the limit system. For the smooth solution, the limit system is given by the two fluids equations. The split-step Fourier method is also employed to justify the numerical simulation of the small dispersion limit.

AB - This paper is devoted to the WKB analysis of the three coupled long wave–short wave interaction (LSI for short) equations. We consider the zero-dispersion limit of the LSI for initial data with Sobolev regularity, before the shocks appear in the limit system. For the smooth solution, the limit system is given by the two fluids equations. The split-step Fourier method is also employed to justify the numerical simulation of the small dispersion limit.

KW - dispersive perturbation

KW - long wave

KW - quasilinear hyperbolic system

KW - short wave

KW - split-step Fourier method

KW - WKB analysis

UR - https://www.scopus.com/pages/publications/85056182745

U2 - 10.1080/00036811.2018.1538503

DO - 10.1080/00036811.2018.1538503

M3 - Article

AN - SCOPUS:85056182745

SN - 0003-6811

VL - 99

SP - 1507

EP - 1527

JO - Applicable Analysis

JF - Applicable Analysis

IS - 9

ER -

WKB analysis for the three coupled long wave–short wave interaction equations

Özet

Bibliyografik not

Belgeye Erişim

Diğer Dosyalar ve Linkler

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