High-frequency solitons in media with induced scattering from damped low-frequency waves with nonuniform dispersion and nonlinearity

• Published in: Journal of experimental and theoretical physics Vol. 121; no. 6; pp. 955 - 960
• Main Authors: Aseeva, N. V., Gromov, E. M., Tyutin, V. V.
• Format: Journal Article
• Language: English
• Published: Moscow Pleiades Publishing 01-12-2015; Springer
• Subjects: Atoms; Classical and Quantum Gravitation; CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Electromagnetism; Elementary Particles; Equipment and supplies; Fiber optics; Molecules; NONLINEAR PROBLEMS; OPTICS; Particle and Nuclear Physics; Physics; Physics and Astronomy; Quantum Field Theory; RAMAN EFFECT; RAMAN SPECTRA; Relativity Theory; SCATTERING; SCHROEDINGER EQUATION; Solid State Physics; SOLITONS; WAVELENGTHS; Wave Packet; Soliton; Linear Dispersion; Stimulate Raman Scattering; Soliton Solution
• ISSN: 1063-7761; 1090-6509
• DOI: 10.1134/S1063776115120092

The dynamics of high-frequency field solitons is considered using the extended nonhomogeneous nonlinear Schrödinger equation with induced scattering from damped low-frequency waves (pseudoinduced scattering). This scattering is a 3D analog of the stimulated Raman scattering from temporal spatially homogeneous damped low-frequency modes, which is well known in optics. Spatial inhomogeneities of secondorder linear dispersion and cubic nonlinearity are also taken into account. It is shown that the shift in the 3D spectrum of soliton wavenumbers toward the short-wavelength region is due to nonlinearity increasing in coordinate and to decreasing dispersion. Analytic results are confirmed by numerical calculations.