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. Also 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.
Citation:
N. V. Aseeva, E. M. Gromov, I. V. Onosova, V. V. Tyutin, “Solitons in a third-order nonlinear Schrödinger equation with the pseudo-Raman scattering and spatially decreasing second-order dispersion”, Pis'ma v Zh. Èksper. Teoret. Fiz., 103:10 (2016), 737–741; JETP Letters, 103:10 (2016), 653–657
\Bibitem{AseGroOno16}
\by N.~V.~Aseeva, E.~M.~Gromov, I.~V.~Onosova, V.~V.~Tyutin
\paper Solitons in a third-order nonlinear Schr\"{o}dinger equation with the pseudo-Raman scattering and spatially decreasing second-order dispersion
\jour Pis'ma v Zh. \`Eksper. Teoret. Fiz.
\yr 2016
\vol 103
\issue 10
\pages 737--741
\mathnet{http://mi.mathnet.ru/jetpl4947}
\crossref{https://doi.org/10.7868/S0370274X1610009X}
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\transl
\jour JETP Letters
\yr 2016
\vol 103
\issue 10
\pages 653--657
\crossref{https://doi.org/10.1134/S0021364016100027}
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Linking options:
https://www.mathnet.ru/eng/jetpl4947
https://www.mathnet.ru/eng/jetpl/v103/i10/p737
This publication is cited in the following 6 articles:
W. Zhang, Yu. Guo, S. Hong, X. Ling, AIP Adv., 11:8 (2021), 085212
N. Mahak, G. Akram, Optik, 207 (2020), UNSP 164467
N. Mahak, G. Akram, Eur. Phys. J. Plus, 134:4 (2019), 159
G. Akram, N. Mahak, Eur. Phys. J. Plus, 133:6 (2018), 212
E. M. Gromov, B. A. Malomed, V. V. Tyutin, Commun. Nonlinear Sci. Numer. Simul., 54 (2018), 13–20
Evgeny M. Gromov, Boris A. Malomed, Advanced Structured Materials, 90, Generalized Models and Non-classical Approaches in Complex Materials 2, 2018, 119
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