Abstract
We analyze the Benney–Roskes/Zakharov–Rubenchik system in space dimension three from group-theoretical point of view. We find that the Lie symmetry algebra of the system is infinite-dimensional. Concentrating on traveling solutions, we find wave components of sech−tanh type, which proceed as line solitons and kinks in two-dimensional cross-sections in space.
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Schedule a callMore From: Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena
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