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

  • Methods of Theoretical Physics
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Abstract

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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Authors and Affiliations

  1. National Research University Higher School of Economics, Nizhny Novgorod, 603155, Russia

    N. V. Aseeva, E. M. Gromov, I. V. Onosova & V. V. Tyutin

Authors
  1. N. V. Aseeva
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  2. E. M. Gromov
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  3. I. V. Onosova
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  4. V. V. Tyutin
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Corresponding author

Correspondence to V. V. Tyutin.

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Aseeva, N.V., Gromov, E.M., Onosova, I.V. et al. Solitons in a third-order nonlinear Schrödinger equation with the pseudo-Raman scattering and spatially decreasing second-order dispersion. Jetp Lett. 103, 653–657 (2016). https://doi.org/10.1134/S0021364016100027

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