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Interaction of pulses in the nonlinear Schrödinger model
1Physical-Technical Institute of the Uzbek Academy of Sciences, 2-B Mavlyanov Street, Tashkent 700084, Uzbekistan. etsoy@physic.uzsci.net
Abstract:
The interaction of two rectangular pulses in the nonlinear Schrödinger model is studied by solving the appropriate Zakharov-Shabat system. It is shown that two real pulses may result in an appearance of moving solitons. Different limiting cases, such as a single pulse with a phase jump, a single chirped pulse, in-phase and out-of-phase pulses, and pulses with frequency separation, are analyzed. The thresholds of creation of new solitons and multisoliton states are found.