Benney-Roskes/Zakharov-Rubenchik System: Lie Symmetries and Exact Solutions

2021/09/20 by Şeyma Gönül, Gönül, Şeyma, Cihangir Özemir +1
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Nonlinear Photonic Systems #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.2109.09695

openalex publication_date 2021/09/20 · openalex created_date 2022/10/05 · openalex updated_date 2026/07/28

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.

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