Nonlinearity managed dissipative solitons
F. Kh. AbdullaevTheoretical Physics Department, Faculty of Physics, National University of Uzbekistan, University street 4, 100174, Tashkent-174, UzbekistanSadulla Sh. TadjimuratovPhysical-Technical Institute of the Uzbekistan Academy of Sciences, Ch. Aytmatov str., 2-B, 100084, Tashkent-84, UzbekistanA. A. AbdumalikovTheoretical Physics Department, Faculty of Physics, National University of Uzbekistan, University street 4, 100174, Tashkent-174, Uzbekistan
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Abstract
We study the dynamics of localized pulses in the complex cubic-quintic Ginzburg-Landau (GL) equation with strong nonlinearity management. The generalized complex GL equation, averaged over rapid modulations of the nonlinearity, is derived. We employ the variational approach to this averaged equation to derive a dynamical system for the dissipative soliton parameters. By using numerical simulations of this dynamical system and the full GP equation, we show that nonlinearity-managed dissipative solitons exist in the model. The parameter regions for stabilization of exploding soliton are obtained.
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