Abstract
Phenomena caused by strong correlations between nonlinear modes in planar systems are briefly reviewed. The analysis is restricted to the model of a nonlinear Schrodinger equation. Stationary field distributions are found. The number of particles is obtained as a function of a parameter characterizing the degree of linking of the world lines of excitations. It is shown that, for small values of this parameter, a two-dimensional lattice is characterized by universal attraction, which can be a dynamical cause for the transition to the coherent state. The relation between the chiral nonlinear edge modes and breaking of the Galilei invariance in the system under consideration is discussed.
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