8 January 2015 Comparison of soliton solutions of the nonlinear Schrödinger equation and the nonlinear amplitude equation
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Proceedings Volume 9447, 18th International School on Quantum Electronics: Laser Physics and Applications; 94471A (2015) https://doi.org/10.1117/12.2177906
Event: Eighteenth International School on Quantum Electronics: Laser Physics and Applications, 2014, Sozopol, Bulgaria
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.
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A. Dakova, A. Dakova, D. Dakova, D. Dakova, L. Kovachev, L. Kovachev, } "Comparison of soliton solutions of the nonlinear Schrödinger equation and the nonlinear amplitude equation", Proc. SPIE 9447, 18th International School on Quantum Electronics: Laser Physics and Applications, 94471A (8 January 2015); doi: 10.1117/12.2177906; https://doi.org/10.1117/12.2177906
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