Dynamics of solitons under random perturbations

摘要: Abstract The dynamics of solitons is investigated in media with randomly inhomogeneous and fluctuating parameters. Some exact results the theory nonlinear stochastic waves are given. An analysis made various approximate approaches, e.g. mean field method Born approximation. Special attention paid to perturbation technique based on inverse scattering transform construction most adequate for solitons. described formalism used investigate evolution wave (soliton) parameters, statistical characteristics radiation generated by analysed also. same approach makes it possible take into account simultaneous effect random regular (e.g., friction) perturbations Examples given situations arising when one describes real physical systems.