Radiophysics and Quantum Electronics

, Volume 58, Issue 3, pp 209–215 | Cite as

Solitons in an Extended Nonlinear Schrödinger Equation with Pseudo Stimulated Scattering and Inhomogeneous Cubic Nonlinearity

  • N. V. AseevaEmail author
  • E. M. Gromov
  • V. V. Tyutin

We consider the soliton dynamics within the framework of an extended nonlinear Schrödinger equation with pseudo stimulated scattering, which occurs from the damped low-frequency waves, and the spatially inhomogeneous cubic nonlinearity. It is shown that the pseudo stimulated scattering, which leads to a shift of the spectrum of the soliton wave numbers to the long-wavelength region, and the nonlinearity, which increases with the coordinate and shifts the soliton spectrum to the short-wavelength region, can be in balance. The soliton solution, which results from this balance, is explicitly obtained.


Soliton Wave Packet Soliton Solution Raman Stimulate Scattering Envelope Function 
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© Springer Science+Business Media New York 2015

Authors and Affiliations

  1. 1.National Research University “Higher School of Economics,”Nizhny NovgorodRussia

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