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An Analytical Scheme For The Analysis Of Multi-Hump Solitons

Author

Listed:
  • ZENONAS NAVICKAS

    (Center for Nonlinear Systems, Kaunas University of Technology, Studentu 50 147, Kaunas LT-51368, Lithuania)

  • TADAS TELKSNYS

    (Center for Nonlinear Systems, Kaunas University of Technology, Studentu 50 147, Kaunas LT-51368, Lithuania)

  • INGA TIMOFEJEVA

    (Center for Nonlinear Systems, Kaunas University of Technology, Studentu 50 147, Kaunas LT-51368, Lithuania)

  • MINVYDAS RAGULSKIS

    (Center for Nonlinear Systems, Kaunas University of Technology, Studentu 50 147, Kaunas LT-51368, Lithuania)

  • ROMAS MARCINKEVICIUS

    (Department of Software Engineering, Kaunas University of Technology, Studentu 50 415, Kaunas LT-51368, Lithuania)

Abstract

An analytical framework for the analysis of multi-hump solitons is proposed in this paper. Multi-hump solitons are defined by imposing special symmetry conditions on the classical soliton expression. Such soliton solutions have a wide range of potential applications in the field of optical communications. The proposed algebras of soliton solutions enable a new look at the propagation dynamics of complex nonlinear wave phenomena. The efficiency of the presented analytical scheme is demonstrated using a system of Riccati differential equations with diffusive and multiplicative coupling.

Suggested Citation

  • Zenonas Navickas & Tadas Telksnys & Inga Timofejeva & Minvydas Ragulskis & Romas Marcinkevicius, 2019. "An Analytical Scheme For The Analysis Of Multi-Hump Solitons," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 22(01), pages 1-17, February.
    • Handle: RePEc:wsi:acsxxx:v:22:y:2019:i:01:n:s0219525918500273
    DOI: 10.1142/S0219525918500273
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    References listed on IDEAS

    as
    1. Navickas, Z. & Ragulskis, M. & Telksnys, T., 2016. "Existence of solitary solutions in a class of nonlinear differential equations with polynomial nonlinearity," Applied Mathematics and Computation, Elsevier, vol. 283(C), pages 333-338.
    2. E. Knill & R. Laflamme & G. J. Milburn, 2001. "A scheme for efficient quantum computation with linear optics," Nature, Nature, vol. 409(6816), pages 46-52, January.
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