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Exact solutions to a family of complex Ginzburg-Landau equations with cubic-quintic nonlinearity

2023/04/14 by Vassilev, Vassil M.
#35C05 (Primary) 35C07 #35C08 (Secondary) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2304.07271

Abstract

In these notes, using the method of differential constraints, novel exact kink-like solutions are obtained for certain classes of complex Ginzburg--Landau equations with cubic-quintic nonlinearity. The foregoing solutions are presented in terms of the Lambert W function.

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