N. V. Aseeva, E. M. Gromov, I. V. Onosova, V. V. Tyutin, “Solitons in a third-order nonlinear Schrödinger equation with the pseudo-Raman scattering and spatially decreasing second-order dispersion”, Pis'ma v Zh. Èksper. Teoret. Fiz., 2016, Volume 103, Issue 10,Pages <nobr>737

This article is cited in 6 papers

METHODS OF THEORETICAL PHYSICS

Solitons in a third-order nonlinear Schrödinger equation with the pseudo-Raman scattering and spatially decreasing second-order dispersion

N. V. Aseeva, E. M. Gromov, I. V. Onosova, V. V. Tyutin

National Research University Higher School of Economics (HSE), 603155 Nizhny Novgorod, Russia

Abstract: Evolution of solitons is addressed in the framework of a third-order nonlinear Schrödinger equation (NLSE), including nonlinear dispersion, third-order dispersion and a pseudo-stimulated-Raman-scattering (pseudo-SRS) term, i.e., a spatial-domain counterpart of the SRS term which is well known as a part of the temporal-domain NLSE in optics. In this context, it is induced by the underlying interaction of the high-frequency envelope wave with a damped low-frequency wave mode. Also spatial inhomogeneity of the second-order dispersion (SOD) is assumed. As a result it is shown that the wavenumber downshift of solitons, caused by the pseudo-SRS, can be compensated with the upshift provided by decreasing SOD coefficients. Analytical results and numerical results are in a good agreement.

Received: 24.03.2016
Revised: 22.04.2016

Language: English

DOI: 10.7868/S0370274X1610009X