High-frequency solitons in media with induced scattering from damped low-frequency waves with nonuniform dispersion and nonlinearity
The dynamics of high-frequency field solitons is considered using the extended nonhomogeneous nonlinear Schrodinger 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 second-order 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.