Benney–Roskes/Zakharov–Rubenchik system: Lie symmetries and exact solutions

Şeyma Gönül; Cihangir Özemir

doi:10.1140/epjp/s13360-022-03310-5

Benney–Roskes/Zakharov–Rubenchik system: Lie symmetries and exact solutions

Şeyma Gönül^*
, Cihangir Özemir

^*Corresponding author for this work

Department of Mathematics Engineering

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

8 Citations (Scopus)

Abstract

We investigate Lie symmetry algebra of the Benney–Roskes/Zakharov–Rubenchik systems. The invariance algebra turns out to be infinite-dimensional. We also find several exact solutions of periodic, line soliton and stationary types.

Original language	English
Article number	1107
Journal	European Physical Journal Plus
Volume	137
Issue number	10
DOIs	https://doi.org/10.1140/epjp/s13360-022-03310-5
Publication status	Published - Oct 2022

Bibliographical note

Publisher Copyright:
© 2022, The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature.

Funding

This work was supported by Scientific Research Projects Department of Istanbul Technical University [project number: TYL-2021-42942].

Funders	Funder number
Istanbul Teknik Üniversitesi	TYL-2021-42942

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10.1140/epjp/s13360-022-03310-5

Cite this

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title = "Benney{\textendash}Roskes/Zakharov{\textendash}Rubenchik system: Lie symmetries and exact solutions",

abstract = "We investigate Lie symmetry algebra of the Benney{\textendash}Roskes/Zakharov{\textendash}Rubenchik systems. The invariance algebra turns out to be infinite-dimensional. We also find several exact solutions of periodic, line soliton and stationary types.",

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

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AU - Gönül, Şeyma

AU - Özemir, Cihangir

PY - 2022/10

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N2 - We investigate Lie symmetry algebra of the Benney–Roskes/Zakharov–Rubenchik systems. The invariance algebra turns out to be infinite-dimensional. We also find several exact solutions of periodic, line soliton and stationary types.

AB - We investigate Lie symmetry algebra of the Benney–Roskes/Zakharov–Rubenchik systems. The invariance algebra turns out to be infinite-dimensional. We also find several exact solutions of periodic, line soliton and stationary types.

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DO - 10.1140/epjp/s13360-022-03310-5

M3 - Article

AN - SCOPUS:85139453305

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JO - European Physical Journal Plus

JF - European Physical Journal Plus

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Benney–Roskes/Zakharov–Rubenchik system: Lie symmetries and exact solutions

Abstract

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