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

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Gonul Ş., Özemir C.

EUROPEAN PHYSICAL JOURNAL PLUS, vol.137, no.10, 2022 (SCI-Expanded) identifier identifier


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.