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

Philippe Marcq·Hugues Chate'·Robert Conte
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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.

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Philippe Marcq, Hugues Chate', Robert Conte. 1993-10-22. Exact Solutions of the One-Dimensional Quintic Complex Ginzburg-Landau Equation. https://doi.org/10.1016/0167-2789(94)90102-3

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