Translator Disclaimer
2014 Soliton Dynamics in an Extended Nonlinear Schrodinger Equation with Inhomogeneous Dispersion and Self-phase Modulation
N. V. Aseeva, E. M. Gromov, B. A. Malomed, V. V. Tyutin
Commun. Math. Anal. 17(2): 1-13 (2014).

Abstract

Evolution of solitons is addressed in the framework of an extended nonlinear Schrödinger equation (NLSE), including a pseudo-stimulated-Raman-scattering (pseudo-SRS) term, i.e., a spatial-domain counterpart of the SRS term which is well known as an ingredient of the temporal-domain NLSE in optics. In the present context, it is induced by the underlying interaction of the high-frequency envelope wave with a damped lowfrequency wave mode. Also included are spatial inhomogeneity of both the second-order dispersion (SOD) and self-phase modulation (SPM). It is shown that the wavenumber downshift of solitons, caused by the pseudo-SRS, may be compensated by an upshift provided by the increasing SPM and SOD coefficients. An analytical solution for solitons is obtained in an approximate form. Analytical and numerical results agree well.

Citation

Download Citation

N. V. Aseeva. E. M. Gromov. B. A. Malomed. V. V. Tyutin. "Soliton Dynamics in an Extended Nonlinear Schrodinger Equation with Inhomogeneous Dispersion and Self-phase Modulation." Commun. Math. Anal. 17 (2) 1 - 13, 2014.

Information

Published: 2014
First available in Project Euclid: 18 December 2014

zbMATH: 1321.35187
MathSciNet: MR3292955

Subjects:
Primary: 35Q51

Rights: Copyright © 2014 Mathematical Research Publishers

JOURNAL ARTICLE
13 PAGES


SHARE
Vol.17 • No. 2 • 2014
Back to Top