Benney-Roskes/Zakharov-Rubenchik System: Lie Symmetries and Exact Solutions
\c{S}eyma G\"on\"ul, Cihangir \"Ozemir
TL;DR
This paper explores the Lie symmetry algebra of the Benney-Roskes/Zakharov-Rubenchik systems, revealing an infinite-dimensional algebra, and derives various exact solutions including periodic, line-soliton, and stationary types.
Contribution
It identifies the infinite-dimensional Lie symmetry algebra of these systems and constructs multiple exact solutions, advancing understanding of their symmetry properties.
Findings
The invariance algebra is infinite-dimensional.
Several exact solutions of different types are found.
Symmetry analysis aids in solving complex nonlinear systems.
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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Taxonomy
TopicsNonlinear Waves and Solitons · Algebraic structures and combinatorial models · Nonlinear Photonic Systems