Exact solutions to a family of complex Ginzburg-Landau equations with cubic-quintic nonlinearity
Vassil M. Vassilev
TL;DR
This paper derives exact kink-like solutions for complex Ginzburg-Landau equations with cubic-quintic nonlinearity using differential constraints, expressing solutions via Lambert W functions, advancing analytical understanding of these nonlinear equations.
Contribution
It introduces a novel method to find exact solutions for complex Ginzburg-Landau equations with cubic-quintic nonlinearity, employing differential constraints and Lambert W functions.
Findings
Exact kink-like solutions expressed with Lambert W function
Application of differential constraints to nonlinear PDEs
Enhanced analytical solutions for complex Ginzburg-Landau equations
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsSports Dynamics and Biomechanics · Orbital Angular Momentum in Optics