Collision-induced radiative dynamics and kinetics of driven nonlinear Schrödinger solitons

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The paper deals with the nonlinear Schrödinger equation perturbed by a nonlinear dissipative term, which, however, conserves the plasmon number (wave action). Such terms describe the nonlinear Landau damping in plasmas or the Raman-scattering-induced dissipation in a nonlinear optical medium. The perturbing term drives a soliton as a constant force, leaving its amplitude unchanged. It is demonstrated that collisions between the driven solitons give rise to radiative losses of the plasmon number. Next, the kinetics of a rarefied soliton gas is analyzed, and it is shown that collisions result in complete decay of solitons into radiation. An asymptotic law of the decay is found.

Original languageEnglish
Pages (from-to)4538-4540
Number of pages3
JournalPhysical Review A
Issue number8
StatePublished - 1990
Externally publishedYes


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