Abstract

A theoretical model is proposed to estimate the energy spectra of chaotic states of the one-dimensional Ginzburg-Landau equation. It is shown that a model consisting of exact envelope solitary wave solutions superposed with appropriate inter-pulse distances and phases gives a satisfactory lowest order approximation for the time averaged Fourier spectra of chaos in the numerical experiments. Collisions of two or three exact solutions are also investigated numerically to examine elementary interactions of localized structures.

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