https://doi.org/10.1140/epjp/s13360-022-03310-5
Regular Article
Benney–Roskes/Zakharov–Rubenchik system: Lie symmetries and exact solutions
Department of Mathematics, Faculty of Science and Letters, Istanbul Technical University, 34469, Istanbul, Turkey
a gonul20@itu.edu.tr, seymaagonul@gmail.com
Received:
3
January
2022
Accepted:
20
September
2022
Published online:
5
October
2022
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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