Strong Phase Correlations of Solitons of Nonlinear Schrödinger Equation

Details Strong Phase Correlations of Solitons of Nonlinear Schrödinger Equation Strong Phase Correlations of Solitons of Nonlinear Schrödinger Equation

1994-07-07

arxiv.org/abs/hep-th/9407040v1

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

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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