The reduced dynamics law of Ginzburg-Landau-Schr?dinger equation
The GLS equation under the reduced dynamic law is studied.A complete description of the dynamic behavior of two vortices under any initial conditions is given.It is shown that N vortex centers with the same winding numbers are at least two vortices move to infinity as t→∞ using first integral.
nonlinear GLS equationwinding numberfirst integralfinite time collision