arXiv subjects

Wu Chengfa

Publications and source records attributed to Wu Chengfa.

2 recordsLinked to original sources

arXiv2023

All meromorphic traveling waves of cubic and quintic complex Ginzburg-Landau equations

For both cubic and quintic nonlinearities of the one-dimensional complex Ginzburg-Landau evolution equation, we prove by a theorem of Eremenko the finiteness of the number of traveling waves whose squared modulus has only poles in the complex plane, and we provide all their closed form expressions. Among these eleven solutions, five are provided by the method used. This allows us to complete the list of solutions previously obtained by other authors.

nlin.PS↗

arXiv2022

New solutions to the complex Ginzburg-Landau equations

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.

nlin.PS↗