We study the dynamics of vortices in the time-dependent Ginzburg-Landau equation for d-wave superconductors. Under suitable assumptions on the coefficients of the time-dependent Ginzburg-Landau equation and some assumptions on the vortex structures, the asymptotic motion equations of vortices are derived as a system of ordinary differential equations. Furthermore, the asymptotic motion equations of vortices predict the attracting of two degree-one vortices in d-wave superconductors which is observed by Du [SIAM J. Appl. Math. 59 (1999) 1225] by numerical simulation. (C) 2001 Elsevier Science B.V. All rights reserved.
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Univ Autonoma Carmen, Fac Ingn, Cd Del Carmen 24180, Campeche, MexicoUniv Autonoma Carmen, Fac Ingn, Cd Del Carmen 24180, Campeche, Mexico
Samuel Millan, Jose
Millan, Jorge
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Univ Autonoma Carmen, Fac Ingn, Cd Del Carmen 24180, Campeche, MexicoUniv Autonoma Carmen, Fac Ingn, Cd Del Carmen 24180, Campeche, Mexico
Millan, Jorge
Perez, Luis A.
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Univ Nacl Autonoma Mexico, Inst Fis, Apartado Postal 20-360, Ciudad De Mexico 04510, Cdmx, MexicoUniv Autonoma Carmen, Fac Ingn, Cd Del Carmen 24180, Campeche, Mexico
Perez, Luis A.
Ruiz, Harold S.
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Univ Leicester, Sch Engn & Space Pk Leicester, Univ Rd, Leicester LE1 7RH, Leics, EnglandUniv Autonoma Carmen, Fac Ingn, Cd Del Carmen 24180, Campeche, Mexico