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Using the complex WKB method for studying the evolution of initial pulses obeying the nonlinear Schrödinger equation

  • Elementary Particle Physics And Field Theory
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Russian Physics Journal Aims and scope

Abstract

Using the complex WKB method, we found an asymptotic solution of the associated Zakharov-Shabat problem in the limit of a small coefficient h → 0 multiplying the derivative of the potential that has a single hump. The obtained formulas can be used in describing the evolution of optical pulses of such shape obeying the nonlinear Schrödinger equation (NSE). Several examples are considered.

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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. 5, pp. 19–25, May, 1993.

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Shapovalov, A.V., Yurchenko, S.N. Using the complex WKB method for studying the evolution of initial pulses obeying the nonlinear Schrödinger equation. Russ Phys J 36, 431–437 (1993). https://doi.org/10.1007/BF00560420

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  • DOI: https://doi.org/10.1007/BF00560420

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