English

Interaction of pulses in nonlinear Schroedinger model

Pattern Formation and Solitons 2009-11-10 v1 Exactly Solvable and Integrable Systems

Abstract

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.

Keywords

Cite

@article{arxiv.nlin/0303061,
  title  = {Interaction of pulses in nonlinear Schroedinger model},
  author = {E. N. Tsoy and F. Kh. Abdullaev},
  journal= {arXiv preprint arXiv:nlin/0303061},
  year   = {2009}
}

Comments

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

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