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Modulational instability on triangular dynamical lattices with long-range interactions and dispersion

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Abstract.

The influence of long-range interactions on the stability of stationary solutions of triangular lattices described by the continuum-discrete nonlinear Schrödinger equation is analyzed. By virtue of the linear stability analysis and a variational approach we demonstrate that both soliton array and continuous-wave solutions are modulationally unstable. Analytical expressions for instability thresholds and growth rate spectra are presented and compared with the corresponding results in the approximation of a nearest neighbor interaction.

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Authors and Affiliations

  1. Institute of Physics and Physical Technologies, Clausthal Technical University, 38678, Clausthal-Zellerfeld, Germany

    M. Stepić, F. Chen, D. Runde & D. Kip

  2. Faculty of Sciences and Mathematics, University of Niš, 18000, Niš, Serbia and Montenegro

    A. Maluckov

  3. Vinča Institute of Nuclear Sciences, P.O.B. 522, 11001, Belgrade, Serbia and Montenegro

    Lj Hadžievski

Authors
  1. M. Stepić
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  2. A. Maluckov
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  3. Lj Hadžievski
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  4. F. Chen
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  5. D. Runde
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  6. D. Kip
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Corresponding author

Correspondence to M. Stepić.

Additional information

Received: 11 May 2004, Published online: 5 November 2004

PACS:

42.65.Tg Optical solitons; nonlinear guided waves - 42.81.Dp Propagation, scattering, and losses; solitons

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Stepić, M., Maluckov, A., Hadžievski, L. et al. Modulational instability on triangular dynamical lattices with long-range interactions and dispersion. Eur. Phys. J. B 41, 495–501 (2004). https://doi.org/10.1140/epjb/e2004-00343-2

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  • DOI: https://doi.org/10.1140/epjb/e2004-00343-2

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