Exact solutions to a family of complex Ginzburg-Landau equations with cubic-quintic nonlinearity
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- April 2023
- DOI:
- 10.48550/arXiv.2304.07271
- arXiv:
- arXiv:2304.07271
- Bibcode:
- 2023arXiv230407271V
- Keywords:
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- Nonlinear Sciences - Exactly Solvable and Integrable Systems;
- Mathematical Physics;
- 35C05 (Primary) 35C07;
- 35C08 (Secondary)
- E-Print:
- 6 pages, 1 figure