Bifurcations and competing coherent structures in the cubic-quintic Ginzburg--Landau equation. I: Plane wave (CW) solutions

DOI10.1016/j.chaos.2005.04.098zbMath1095.34021arXiv1301.5222OpenAlexW1998392460MaRDI QIDQ813710

S. Roy Choudhury, Stefan C. Mancas

Publication date: 13 February 2006

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.5222

zbMATH Keywords

bifurcationcubic-quintic Ginzburg-Landau equationplane wave solutions

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Bifurcation theory for ordinary differential equations (34C23) NLS equations (nonlinear Schrödinger equations) (35Q55) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10)

Related Items (5)

Non-quantum liquefaction of coherent gases ⋮ Modulational instability in linearly coupled complex cubic-quintic Ginzburg-Landau equations ⋮ Spatiotemporal structure of pulsating solitons in the cubic-quintic Ginzburg-Landau equation: A novel variational formulation ⋮ Application of Exp-function method for 2D cubic-quintic Ginzburg-Landau equation ⋮ Novel homoclinic and heteroclinic solutions for the 2D complex cubic Ginzburg-Landau equation

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