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International Conference on Network Analysis

NET 2014: Models, Algorithms and Technologies for Network Analysis pp 281–289Cite as

Langmuir Solitons in Plasma with Inhomogeneous Electron Temperature and Space Stimulated Scattering on Damping Ion-Sound Waves

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Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 156))

Abstract

Dynamics of Langmuir solitons is considered in the framework of the extended nonlinear Schrödinger equation (NLSE), including a pseudo-stimulated-Raman-scattering (pseudo-SRS) term, caused by stimulated scattering on damping ion-sound waves. Also included are spatially decreasing second-order dispersion (SOD) and increasing self-phase modulation (SPM), caused by spatially decreasing electron temperature of plasma. It is shown that the wavenumber downshift of solitons, caused by the pseudo-SRS, may be compensated by an upshift provided by the decreasing SOD and increasing SPM coefficients. An analytical solution for solitons is obtained in an approximate form. Analytical and numerical results agree well.

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Acknowledgements

This work was supported by the Russian Foundation for Basic Research projects No 15-02-01919. The article was prepared within the framework of the Academic Fund Program at the National Research University Higher School of Economics (HSE) in 2015 (grant No 15-09-0240).

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Authors and Affiliations

  1. National Research University Higher School of Economics, 25/12 Bolshaja Pecherskaja str., Nizhny Novgorod, 603155, Russia

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

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

Correspondence to N. V. Aseeva .

Editor information

Editors and Affiliations

  1. Laboratory of Algorithms and Technologies for Network Analysis (LATNA), National Research University Higher School of Economics, Nizhny Novgorod, Russia

    Valery A. Kalyagin

  2. Laboratory of Algorithms and Technologies for Network Analysis (LATNA), National Research University Higher School of Economics, Nizhny Novgorod, Russia

    Petr A. Koldanov

  3. Department of Industrial and System Engineering, Center for Applied Optimization University of Florida, Gainesville, Florida, USA

    Panos M. Pardalos

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© 2016 Springer International Publishing Switzerland

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Aseeva, N.V., Gromov, E.M., Nasedkina, T.V., Onosova, I.V., Tyutin, V.V. (2016). Langmuir Solitons in Plasma with Inhomogeneous Electron Temperature and Space Stimulated Scattering on Damping Ion-Sound Waves. In: Kalyagin, V., Koldanov, P., Pardalos, P. (eds) Models, Algorithms and Technologies for Network Analysis. NET 2014. Springer Proceedings in Mathematics & Statistics, vol 156. Springer, Cham. https://doi.org/10.1007/978-3-319-29608-1_19

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