Randomly modulated dark soliton

The effect of initial fluctuations on the dynamics of dark solitons is studied in the framework of the nonlinear Schrodinger equation with nonzero boundary conditions. The perturbation method based on the inverse scattering technique is developed to obtain statistical characteristics of soliton parameters. The possibility of creation of new solitons due to perturbation is considered and a criterion for that to occur is stated. The features of the soliton dynamics in comparison with those of bright solitons are discussed.

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