ZhETF, Vol. 126,
p. 1249 (November 2004)
(English translation - JETP,
Vol. 99, No. 5,
available online at www.springer.com
SYMMETRY-BREAKING SOLUTIONS OF THE GINZBURG-LANDAU EQUATION
Ovchinnikov Yu.N., Sigal I.M.
Received: March 1, 2004
We consider the question of the existence of nonradial solutions of the Ginzburg-Landau equation. We present results indicating that such solutions exist. We seek such solutions as saddle points of the renormalized Ginzburg-Landau free-energy functional. There are two main points in our analysis: searching for solutions that have certain point symmetries and characterizing saddle-point solutions in terms of critical points of certain intervortex energy function. The latter critical points correspond to forceless vortex configurations.