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arXiv · 2208.14945

New solutions to the complex Ginzburg-Landau equations

Robert Conte·Micheline Musette·Ng Tuen Wai·Wu Chengfa
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Abstract

The various r\'egimes observed in the one-dimensional complex Ginzburg-Landau equation result from the interaction of a very small number of elementary patterns such as pulses, fronts, shocks, holes, sinks. We provide here three exact such patterns observed in numerical calculations but never found analytically. One is a quintic case localized homoclinic defect, observed by Popp et alii, the two others are bound states of two quintic dark solitons, observed by Afanasyev et alii.

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Robert Conte, Micheline Musette, Ng Tuen Wai, Wu Chengfa. 2022-08-31. New solutions to the complex Ginzburg-Landau equations. https://doi.org/10.1103/physreve.106.l042201

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