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

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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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Acknowledgements

We would like to thank Prof. Faruk Güngör for carefully reading the manuscript and for his valuable suggestions.

Funding

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

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science and Letters, Istanbul Technical University, 34469, Istanbul, Turkey

    Şeyma Gönül & Cihangir Özemir

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  1. Şeyma Gönül
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  2. Cihangir Özemir
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Correspondence to Şeyma Gönül.

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Gönül, Ş., Özemir, C. Benney–Roskes/Zakharov–Rubenchik system: Lie symmetries and exact solutions. Eur. Phys. J. Plus 137, 1107 (2022). https://doi.org/10.1140/epjp/s13360-022-03310-5

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