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Modulational instability on triangular dynamical lattices with long-range interactions and dispersion
Authors:M.?Stepi?  author-information"  >  author-information__contact u-icon-before"  >  mailto:milutin.stepic@tu-clausthal.de"   title="  milutin.stepic@tu-clausthal.de"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author,A.?Maluckov,Lj?Had?ievski,F.?Chen,D.?Runde,D.?Kip
Affiliation:1.Institute of Physics and Physical Technologies,Clausthal Technical University,Clausthal-Zellerfeld,Germany;2.Faculty of Sciences and Mathematics,University of Ni?,Ni?,Serbia and Montenegro;3.Vin?a Institute of Nuclear Sciences,Belgrade,Serbia and Montenegro
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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