https://doi.org/10.1140/epjb/e2004-00343-2
Modulational instability on triangular dynamical lattices with long-range interactions and dispersion
1
Institute of
Physics and Physical Technologies, Clausthal Technical University,
38678 Clausthal-Zellerfeld, Germany
2
Faculty of Sciences and Mathematics, University of
Niš, 18000 Niš, Serbia and Montenegro
3
Vinča Institute of Nuclear Sciences, P.O.B. 522,
11001 Belgrade, Serbia and Montenegro
Corresponding author: a milutin.stepic@tu-clausthal.de
Received:
11
May
2004
Published online:
5
November
2004
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.
PACS: 42.65.Tg – Optical solitons; nonlinear guided waves / 42.81.Dp – Propagation, scattering, and losses; solitons
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2004
