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Russian Physics Journal

, Volume 36, Issue 5, pp 431–437 | Cite as

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

  • A. V. Shapovalov
  • S. N. Yurchenko
Elementary Particle Physics And Field Theory

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.

Keywords

Asymptotic Solution Optical Pulse Initial Pulse Small Coefficient Single Hump 
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Copyright information

© Plenum Publishing Corporation 1993

Authors and Affiliations

  • A. V. Shapovalov
  • S. N. Yurchenko

There are no affiliations available

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