Lie Symmetries and traveling wave solutions of the 3D Benney–Roskes/Zakharov–Rubenchik system

Şeyma Gönül; Cihangir Özemir

doi:10.1016/j.chaos.2022.112807

Lie Symmetries and traveling wave solutions of the 3D Benney–Roskes/Zakharov–Rubenchik system

Şeyma Gönül^*, Cihangir Özemir

^*Bu çalışma için yazışmadan sorumlu yazar

Matematik Bölümü

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

3 Atıf (Scopus)

Özet

We analyze the Benney–Roskes/Zakharov–Rubenchik system in space dimension three from group-theoretical point of view. We find that the Lie symmetry algebra of the system is infinite-dimensional. Concentrating on traveling solutions, we find wave components of sech−tanh type, which proceed as line solitons and kinks in two-dimensional cross-sections in space.

Orijinal dil	İngilizce
Makale numarası	112807
Dergi	Chaos, Solitons and Fractals
Hacim	165
DOI'lar	https://doi.org/10.1016/j.chaos.2022.112807
Yayın durumu	Yayınlandı - Ara 2022

Bibliyografik not

Publisher Copyright:
© 2022 Elsevier Ltd

Finansman

The authors express their sincere gratitude to the anonymous referee for careful evaluation and comments on the article, which substantially improved the presentation of the paper.

Belgeye Erişim

10.1016/j.chaos.2022.112807

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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title = "Lie Symmetries and traveling wave solutions of the 3D Benney–Roskes/Zakharov–Rubenchik system",

abstract = "We analyze the Benney–Roskes/Zakharov–Rubenchik system in space dimension three from group-theoretical point of view. We find that the Lie symmetry algebra of the system is infinite-dimensional. Concentrating on traveling solutions, we find wave components of sech−tanh type, which proceed as line solitons and kinks in two-dimensional cross-sections in space.",

keywords = "Benney–Roskes system, Exact solutions, Symmetry algebra, Zakharov–Rubenchik system",

author = "{\c S}eyma G{\"o}n{\"u}l and Cihangir {\"O}zemir",

note = "Publisher Copyright: {\textcopyright} 2022 Elsevier Ltd",

year = "2022",

month = dec,

doi = "10.1016/j.chaos.2022.112807",

language = "English",

volume = "165",

journal = "Chaos, Solitons and Fractals",

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TY - JOUR

T1 - Lie Symmetries and traveling wave solutions of the 3D Benney–Roskes/Zakharov–Rubenchik system

AU - Gönül, Şeyma

AU - Özemir, Cihangir

PY - 2022/12

Y1 - 2022/12

N2 - We analyze the Benney–Roskes/Zakharov–Rubenchik system in space dimension three from group-theoretical point of view. We find that the Lie symmetry algebra of the system is infinite-dimensional. Concentrating on traveling solutions, we find wave components of sech−tanh type, which proceed as line solitons and kinks in two-dimensional cross-sections in space.

AB - We analyze the Benney–Roskes/Zakharov–Rubenchik system in space dimension three from group-theoretical point of view. We find that the Lie symmetry algebra of the system is infinite-dimensional. Concentrating on traveling solutions, we find wave components of sech−tanh type, which proceed as line solitons and kinks in two-dimensional cross-sections in space.

KW - Benney–Roskes system

KW - Exact solutions

KW - Symmetry algebra

KW - Zakharov–Rubenchik system

UR - http://www.scopus.com/inward/record.url?scp=85143491682&partnerID=8YFLogxK

U2 - 10.1016/j.chaos.2022.112807

DO - 10.1016/j.chaos.2022.112807

M3 - Article

AN - SCOPUS:85143491682

SN - 0960-0779

VL - 165

JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

M1 - 112807

ER -

Lie Symmetries and traveling wave solutions of the 3D Benney–Roskes/Zakharov–Rubenchik system

Özet

Bibliyografik not

Finansman

Belgeye Erişim

Diğer Dosyalar ve Linkler

Parmak izi

Alıntı Yap