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Proceedings Paper

Comparison of soliton solutions of the nonlinear Schrödinger equation and the nonlinear amplitude equation
Author(s): A. Dakova; D. Dakova; L. Kovachev
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Paper Abstract

It is known that the Nonlinear Schrödinger equation (NLSE) very well describes the evolution of nanosecond and picosecond pulses in isotropic nonlinear dispersive medium. For exploration the propagation of femtosecond and attosecond light pulses it is necessary to be used the more general nonlinear amplitude equation. Therefore it is important to clarify the difference between the solutions of these two equations. In the present paper are investigated the one-dimensional soliton solutions of the NLSE and the nonlinear amplitude equation describing the evolution of optical pulses in a single-mode fiber with negative dispersion of the group velocity. It is shown that for a fundamental soliton the main difference between the two solutions is in the phases of the pulses. It is also seen that the soliton obtained in our work is with the same width as this of the NLSE but with an amplitude √2 times greater.

Paper Details

Date Published: 8 January 2015
PDF: 7 pages
Proc. SPIE 9447, 18th International School on Quantum Electronics: Laser Physics and Applications, 94471A (8 January 2015); doi: 10.1117/12.2177906
Show Author Affiliations
A. Dakova, Institute of Electronics (Bulgaria)
D. Dakova, Plovdiv Univ. "Paisii Hilendarski" (Bulgaria)
L. Kovachev, Institute of Electronics (Bulgaria)

Published in SPIE Proceedings Vol. 9447:
18th International School on Quantum Electronics: Laser Physics and Applications
Tanja Dreischuh; Sanka Gateva; Alexandros Serafetinides, Editor(s)

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