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

M. Stepić (), A. Maluckov, Lj Hadžievski, F. Chen, D. Runde and D. Kip

The European Physical Journal B: Condensed Matter and Complex Systems, 2004, vol. 41, issue 4, 495-501

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. Copyright Springer-Verlag Berlin/Heidelberg 2004

Date: 2004
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DOI: 10.1140/epjb/e2004-00343-2

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