The evolution of vibrations in two-dimensional cuЬic-nonlinearity gratings near the saddle point of the dispersion surface is analyzed. Using the first two evaluated integrals, а strict analytical solution of the coupled nonlinear differential equations for the excitation агеа widths descriЬing the processes of self-localization and delocalization in two mutually perpendicular directions has been oЬtained. The main features of space vibration dynamics have been identified as functions of the relation between the nonlinear and dispersion properties of the system.
Department of Radiophysics
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