Soliton dynamics in media with space stimulated Raman scattering and synchronic spatial variation of dispersion and self-phase modulation

• Published in: Chaos (Woodbury, N.Y.) Vol. 23; no. 1; p. 013143
• Main Authors: Aseeva, N V, Gromov, E M, Tyutin, V V
• Format: Journal Article
• Language: English
• Published: United States 01-03-2013
• Subjects: Computer Simulation; Motion; Nonlinear Dynamics; Numerical Analysis, Computer-Assisted; Radio Waves; Scattering, Radiation; Spectrum Analysis, Raman; Time Factors
• ISSN: 1089-7682
• DOI: 10.1063/1.4794433

Solitons dynamics in the frame of the extended nonlinear Schrödinger equation taking into account space stimulated Raman scattering (SSRS), synchronic spatial variation of inhomogeneous second-order dispersion (SOD), and self-phase modulation (SPM) is considered both analytically and numerically. Compensation of soliton Raman self-wave number down shift by synchronically increasing SOD and SPM is shown. Analytical soliton solution as a result of the equilibrium of SSRS and increasing both SOD and SPM is found. Regime of the dynamical equilibrium of SSRS and inhomogeneous media with periodical variation of soliton's parameters is found. Analytical and numerical results are in a good agreement.