Interaction of pulses in nonlinear Schroedinger model

Details Interaction of pulses in nonlinear Schroedinger model Interaction of pulses in nonlinear Schroedinger model

2003-03-26

arxiv.org/abs/nlin/0303061v1

Nonlinear Sciences

Pattern Formation and Solitons

9 pages, 7 figures. Accepted to Phys. Rev. E, 2003

Scientific paper

10.1103/PhysRevE.67.056610

The interaction of two rectangular pulses in nonlinear Schroedinger model is studied by solving the appropriate Zakharov-Shabat system. It is shown that two real pulses may result in 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 multi-soliton states are found.

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