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

Şeyma Gönül and Cihangir Özemir

Chaos, Solitons & Fractals, 2022, vol. 165, issue P2

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; Zakharov–Rubenchik system; Symmetry algebra; Exact solutions (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:165:y:2022:i:p2:s0960077922009869

DOI: 10.1016/j.chaos.2022.112807

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