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

^*Corresponding author for this work

Department of Mathematics Engineering

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

7 Citations (Scopus)

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.

Original language	English
Article number	112807
Journal	Chaos, Solitons and Fractals
Volume	165
DOIs	https://doi.org/10.1016/j.chaos.2022.112807
Publication status	Published - Dec 2022

Bibliographical note

Publisher Copyright:
© 2022 Elsevier Ltd

Funding

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.

Keywords

Benney–Roskes system
Exact solutions
Symmetry algebra
Zakharov–Rubenchik system

Access to Document

10.1016/j.chaos.2022.112807

Cite this

@article{c70cae310aaa4380a2a7920fab2a506e,

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

abstract = "We analyze the Benney{\textendash}Roskes/Zakharov{\textendash}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{\textendash}Roskes system, Exact solutions, Symmetry algebra, Zakharov{\textendash}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",

issn = "0960-0779",

publisher = "Elsevier Ltd",

}

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 - https://www.scopus.com/pages/publications/85143491682

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

Abstract

Bibliographical note

Funding

Keywords

Access to Document

Other files and links

Fingerprint

Cite this