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Emulating the Raman Physics in the Spatial Domain with the Help of the Zakharov’s Systems

Ch. 6. P. 119–144.
Gromov E., Malomed B.

Dynamics of solitons is considered in the framework of the extended nonlinear Schrödinger equation (NLSE), which is derived from a system of Zakharov's type for the interaction between high- and low-frequency (HF and LF) waves, in which the LF field is subject to diffusive damping. The model may apply to the propagation of HF waves in plasmas. The resulting NLSE includes a pseudo-stimulated-Raman-scattering (pseudo-SRS) term, i.e., a spatial-domain counterpart of the SRS term which is well known as an ingredient of the temporal-domain NLSE in optics. Also included is inhomogeneity of the spatial second-order diffraction (SOD). It is shown that the wavenumber downshift of solitons, caused by the pseudo-SRS, may be compensated by an upshift provided by the SOD whose coefficient is a linear function of the coordinate. An analytical solution for solitons is obtained in an approximate form. Analytical and numerical results agree well, including the predicted balance between the pseudo-SRS and the linearly inhomogeneous SOD

Language: English
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Keywords: расширенное нелинейное уравнение ШредингераExtended Nonlinear Schrödinger EquationПсевдо индуцированное рассеяние Раманаpseudo-stimulated-Raman-scattering (pseudo-SRS) termсистемы Захаровского типа

In book

Generalized Models and Non-classical Approaches in Complex Materials 2. Advanced Structured Materials
Springer, 2018.
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