Abstract

The complex Ginzburg-Landau equation is considered. It is shown that there are three conservation laws corresponding to this equation. These conservation laws are found using the direct transformation of the equation. The first integral of the ordinary differential equation is given by reduction to the traveling wave variables. The bright optical soliton of the Ginzburg-Landau equation is found. Conservative quantities corresponding to the power, momentum and energy of optical soliton are calculated.

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