Traveling wavetrains in the complex cubic-quintic Ginzburg-Landau equation

    Authors

    S. C. Mancas;S. R. Choudhury

    Comments

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    Abbreviated Journal Title

    Chaos Solitons Fractals

    Keywords

    CHEMICALLY REACTING SYSTEMS; SINGULAR BIFURCATION POINTS; TIME-PERIODIC; SOLUTIONS; DYNAMICS; SOLITONS; FRONTS; PULSES; SINKS; Mathematics, Interdisciplinary Applications; Physics, Multidisciplinary; Physics, Mathematical

    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. (c) 2005 Elsevier Ltd. All rights reserved.

    Journal Title

    Chaos Solitons & Fractals

    Volume

    28

    Issue/Number

    3

    Publication Date

    1-1-2006

    Document Type

    Article

    Language

    English

    First Page

    834

    Last Page

    843

    WOS Identifier

    WOS:000235595900022

    ISSN

    0960-0779

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