Comparison of soliton solutions of the nonlinear Schrödinger equation and the nonlinear amplitude equation

A. Dakova; D. Dakova; L. Kovachev

doi:10.1117/12.2177906

8 January 2015 Comparison of soliton solutions of the nonlinear Schrödinger equation and the nonlinear amplitude equation

A. Dakova, D. Dakova, L. Kovachev

Author Affiliations +

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.

Citation Download Citation

A. Dakova, D. Dakova, and 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); https://doi.org/10.1117/12.2177906

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

;

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE