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Ballistic Soliton Transport in Networks

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Book cover Nonlinear Phenomena in Complex Systems: From Nano to Macro Scale

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Abstract

We treat the problem reflectionless (ballistic) soliton transport on simplest networks and their combinations via solving nonlinear Schrödinger equation on simplest graphs. In particular, the relation between the nonlinearity coefficients of different bonds describing conditions for ballistic transport is derived for star graph. It is shown that the method can be extended to different simplest graph topologies and their combinations.

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Author information

Authors and Affiliations

  1. Tashkent State Financial Institute, Tashkent, Uzbekistan

    Zarif A. Sobirov

  2. Turin Polytechnic University in Tashkent, 17, Niyazov Str., 100095, Tashkent, Uzbekistan

    K. K. Sabirov, Davron Matrasulov, A. A. Saidov & K. Nakamura

Authors
  1. Zarif A. Sobirov
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  2. K. K. Sabirov
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  3. Davron Matrasulov
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  4. A. A. Saidov
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  5. K. Nakamura
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Corresponding author

Correspondence to Zarif A. Sobirov .

Editor information

Editors and Affiliations

  1. Turin Polytechnic University in Tashkent, Tashkent, Uzbekistan

    Davron Matrasulov

  2. Department of Physics, Boston University, Boston, Massachusetts, USA

    H. Eugene Stanley

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Sobirov, Z.A., Sabirov, K.K., Matrasulov, D., Saidov, A.A., Nakamura, K. (2014). Ballistic Soliton Transport in Networks. In: Matrasulov, D., Stanley, H. (eds) Nonlinear Phenomena in Complex Systems: From Nano to Macro Scale. NATO Science for Peace and Security Series C: Environmental Security. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-8704-8_16

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  • DOI: https://doi.org/10.1007/978-94-017-8704-8_16

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  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-017-8703-1

  • Online ISBN: 978-94-017-8704-8

  • eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)

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