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BY-NC-ND 3.0 license Open Access Published by De Gruyter June 2, 2014

Novel Asymptotic SolitonWaves for the Nonlinear Schrödinger Equation with Varying Gain/Loss and Frequency Chirping

  • Xian-Jing Lai EMAIL logo and Jie-Fang Zhang

Abstract

This paper analysis spatial asymptotic waves propagation in nonuniform optical fiber. It finds an appropriate transformation such that the nonlinear variable-coefficient Schr¨odinger equation transform into the nonlinear Schr¨odinger equation with varying gain/loss and frequency chirping. It obtains solitonlike and periodic self-similar asymptotic waves by using the transformation. We analyze the evolution properties of some novel self-similar solutions. In addition, the nature of our self-similar asymptotic wave hints to the possibility of designing optical amplifier and focusing of spatial waves to overcome inevitable energy losses while performing in the optical nonlinear media.

Received: 2008-9-19
Revised: 2009-2-22
Published Online: 2014-6-2
Published in Print: 2009-6-1

© 1946 – 2014: Verlag der Zeitschrift für Naturforschung

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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