Strong Phase Correlations of Solitons of Nonlinear Schr\"odinger Equation
Abstract
We discuss the possibility to suppress the collapse in the nonlinear 2+1 D Schr\"odinger equation by using the gauge theory of strong phase correlations. It is shown that invariance relative to q-deformed Hopf algebra with deformation parameter q being the fourth root of unity makes the values of the Chern-Simons term coefficient, k=2, and of the coupling constant, g=1/2, fixed; no collapsing solutions are present at those values.
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