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Author(s):
M. Stepic, L. Hadzievski and M.M. Skoric
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Title:
Modulation Instability in Two-dimensional Nonlinear Schrodinger Lattice Models with Dispersion and Long-range Interactions
Date of publication:
Jan. 2003
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Key words:
nonlinear dynamics, stability, continuum-discrete nonlinear Schrodinger equation
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Abstract:
The problem of modulation instability of continuous wave and array soliton solutions in the framework of a two-dimensional continuum-discrete nonlinear Schrodinger lattice model which accounts for dispersion and ling-range interactIONS BETWEEN ELEMENTS, IS INVESTIGATED. APPLICATION OF THE LINEAR STABILITY ANALYSIS BASED ON AN ENERGETIC PRINCIPLE AND A VARIATIONAL APPROACH, WHICH WERE ORIGINALLY DEVELOPED FOR THE CONTINUUM NONLINEAR SCHRODINGER MODEL, IS PROPOSED. Analytical expressions for the corresponding instability thresholds and the growth rate spectra are calculated.
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