JETP Letters

, Volume 103, Issue 10, pp 653–657 | Cite as

Solitons in a third-order nonlinear Schrödinger equation with the pseudo-Raman scattering and spatially decreasing second-order dispersion

  • N. V. Aseeva
  • E. M. Gromov
  • I. V. Onosova
  • V. V. TyutinEmail author
Methods of Theoretical Physics


Evolution of solitons is addressed in the framework of a third-order nonlinear Schrödinger equation (NLSE), including nonlinear dispersion, third-order dispersion and a pseudo-stimulated-Raman-scattering (pseudo- SRS) term, i.e., a spatial-domain counterpart of the SRS term, which is well known as a part of the temporal-domain NLSE in optics. In this context, it is induced by the underlying interaction of the high-frequency envelope wave with a damped low-frequency wave mode. In addition, spatial inhomogeneity of the second-order dispersion (SOD) is assumed. As a result, it is shown that the wavenumber downshift of solitons, caused by the pseudo-SRS, can be compensated with the upshift provided by decreasing SOD coefficients. Analytical results and numerical results are in a good agreement.


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Copyright information

© Pleiades Publishing, Inc. 2016

Authors and Affiliations

  • N. V. Aseeva
    • 1
  • E. M. Gromov
    • 1
  • I. V. Onosova
    • 1
  • V. V. Tyutin
    • 1
    Email author
  1. 1.National Research University Higher School of EconomicsNizhny NovgorodRussia

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