Spectral approach for the soliton and periodic solutions of the nonlinear wave equation

Kumar, Shiva and Anand, GV and Selvarajan, A (1993) Spectral approach for the soliton and periodic solutions of the nonlinear wave equation. In: Journal of the Optical Society of America B, 10 (4). pp. 697-703.

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Abstract

A spectral method that obtains the soliton and periodic solutions to the nonlinear wave equation is presented. The results show that the nonlinear group velocity is a function of the frequency shift as well as of the soliton power. When the frequency shift is a function of time, a solution in terms of the Jacobian elliptic function is obtained. This solution is periodic in nature, and, to generate such an optical pulse train, one must simultaneously amplitude- and frequency-modulate the optical carrier. Finally, we extend the method to include the effect of self-steepening.

Item Type:	Journal Article
Publication:	Journal of the Optical Society of America B
Publisher:	Journal of the Optical Society of America B
Additional Information:	Copyright of this article belongs to Journal of the Optical Society of America B.
Department/Centre:	Division of Electrical Sciences > Electrical Communication Engineering
Date Deposited:	28 Feb 2011 08:32
Last Modified:	28 Feb 2011 08:32
URI:	http://eprints.iisc.ac.in/id/eprint/35755

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