Title

Traveling Wavetrains In The Complex Cubic-Quintic Ginzburg-Landau Equation

Abstract

In this paper, we use a traveling wave reduction or a so-called spatial approximation to comprehensively investigate the periodic solutions of the complex cubic-quintic Ginzburg-Landau equation. The primary tools used here are Hopf bifurcation theory and perturbation theory. Explicit results are obtained for the post-bifurcation periodic orbits and their stability. Generalized and degenerate Hopf bifurcations are also briefly considered to track the emergence of global structures such as homoclinic orbits. © 2005 Elsevier Ltd. All rights reserved.

Publication Date

5-1-2006

Publication Title

Chaos, Solitons and Fractals

Volume

28

Issue

3

Number of Pages

834-843

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1016/j.chaos.2005.08.080

Socpus ID

27644577260 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/27644577260

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