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The velocity of a vortex solution of the real and complex dissipative Ginzburg-Landau equation in a weak external field is obtained by combining the method of matched asymptotic expansions with the numerical solution in the core region. The velocity of two interacting vortices as a function of their separation is estimated using the quasistationary approximation of the phase field.
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L. M. Pismen (1990) studied this question.
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