Exact Solutions of the One-Dimensional Quintic Complex Ginzburg-Landau Equation

Abstract

Exact solitary wave solutions of the one-dimensional quintic complex Ginzburg-Landau equation are obtained using a method derived from the Painlevé test for integrability. These solutions are expressed in terms of hyperbolic functions, and include the pulses and fronts found by van Saarloos and Hohenberg. We also find previously unknown sources and sinks. The emphasis is put on the systematic character of the method which breaks away from approaches involving somewhat ad hoc Ansätze.

24 pages, regular LaTeX, no figures

References in corpus (1)

• Disordered Regimes of the one-dimensional complex Ginzburg-Landau equation

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