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

DOI10.1016/j.chaos.2022.112807OpenAlexW4308272105MaRDI QIDQ2679966

Şeyma Gönül, Cihangir Özemir

Publication date: 26 January 2023

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2022.112807

zbMATH Keywords

exact solutionssymmetry algebraZakharov-Rubenchik systemBenney-Roskes system

Mathematics Subject Classification ID

Soliton equations (35Q51) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60) Soliton solutions (35C08) Symmetries, invariants, etc. in context of PDEs (35B06)

Cites Work

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• Well posedness for the 1D Zakharov-Rubenchik system
• On the Cauchy problem for the Zakharov-Rubenchik/Benney-Roskes system
• Generation of acoustic fronts by focusing wave packets
• Instability of the standing waves for a Benney-Roskes/Zakharov-Rubenchik system and blow-up for the Zakharov equations
• Well-posedness for the Benney-Roskes/Zakharov-Rubenchik system
• On three-dimensional packets of surface waves
• Stability and instability analysis for the standing waves for a generalized Zakharov-Rubenchik system
• On long-time behavior of solutions of the Zakharov–Rubenchik/Benney–Roskes system
• Wave Instabilities
• Symmetries and differential equations

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