Взаимодействие коротких векторных однокомпонентных солитонов (амплитудно–фазовые эффекты)
The interaction of short single-component vector solitons in the frame of the coupled third–order nonlinear Schrodinger equations taking into account third–order linear dispersion, self–stepping, self–stimulated Ramanscattering, cross–stepping and cross–stimulated Raman-scattering terms is considered. Conditions of reflection and propagation of the solitons through each other and also the condition of oscillator interaction (vector breather) are obtained.
The stationary waves with nonlinear phase modulation in the frame of the extended nonlinear Schrodinger equation with taking into account both the nonlinear dispersion and stimulated Raman-scattering terms are considered. Two classes of a kink–waves are found: one class exists as the result of balance of the stimulated Raman--scattering and nonlinear dispersion, other class – as the result of balance of the stimulated Raman-scattering and second-order linear dispersion. Is show that kink-waves with pedestal exist only in present of the nonlinear dispersion.