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Effect of initial pulse shape modulation on spontaneous soliton formation in the NSE model

  • Elementary Particle Physics And Field Theory
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Abstract

An initial pulse with fairly steep fronts whose evolution is described by the nonlinear Schrödinger equation, splits into soliton-like pulses (spontaneous soliton formation). The number of solitons formed in this process can be estimated by the number of spectral points of the associated linear Zakharov-Shabat problem for the initial pulse. Exact solutions of the Zakharov-Shabat problem are constructed for some classes of initial piecewise-continuous pulses by using the Darboux method. This allows us to estimate the effect of the shape of the initial pulse on the number of formed solitions and their parameters.

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Authors
  1. A. V. Shapovalov
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  2. S. N. Yurchenko
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Additional information

V. V. Kuibyshev State University, Tomsk. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 6, pp. 19–24, June, 1992.

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Shapovalov, A.V., Yurchenko, S.N. Effect of initial pulse shape modulation on spontaneous soliton formation in the NSE model. Russ Phys J 35, 508–513 (1992). https://doi.org/10.1007/BF00559170

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  • DOI: https://doi.org/10.1007/BF00559170

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