Damped solitons in an extended nonlinear Schrodinger equation with a spatial stimulated Raman scattering and decreasing dispersion

Abstract

Dynamics of solitons is considered in the framework of an extended nonlinear Schrodinger equation (NLSE), which is derived from a system of the Zakharov's type for the interaction between high- and low-frequency (HF and LF) waves. The resulting NLSE includes a pseudo-stimulated-Raman-scattering (pseudo-SRS) term, i.e., a spatial-domain counterpart of the SRS term, which is a known ingredient of the temporal-domain NLSE in optics. Also included is inhomogeneity of the spatial second-order dispersion (SOD) and linear losses of HF waves. It is shown that wavenumber downshift by the pseudo-SRS may be compensated by upshift provided by SOD whose local strength is an exponentially decaying function of the coordinate. An analytical soliton solution with a permanent shape is found in an approximate form, and is verified by comparison with numerical results

13 pages, 6 figures, Optics Communications, in press. arXiv admin note: text overlap with arXiv:1306.4550

References in corpus (2)

• Higher-order effects and ultra-short solitons in left-handed metamaterials
• Ultra-short solitons and kinetic effects in nonlinear metamaterials

Cited by in corpus (3)

• Quasisolitons in self-diffusive excitable systems, or Why asymmetric diffusivity does not violate the Second Law
• Interplay of the pseudo-Raman term and trapping potentials in the nonlinear Schroedinger equation
• Vector solitons in coupled nonlinear Schrödinger equations with spatial stimulated scattering and inhomogeneous dispersion