Solutions without phase-slip for the Ginsburg-Landau equation |
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| Authors: | P Collet J -P Eckmann |
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| Institution: | (1) Centre de Physique Théorique, Ecole Polytechnique, F-91128 Palaiseau, Cedex, France;(2) Laboratoire UPR A14, CNRS, Palaiseau, Cedex, France;(3) Département de Physique Théorique, Université de Genève, CH-1211 Geneva 4, Switzerland |
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| Abstract: | We consider the Ginsburg-Landau equation for a complex scalar field in one dimension and consider initial data which have two different stationary solutions as their limits in space asx ± . If these solutions are not very different, then we show that the initial data will evolve to a stationary solution by a  phase melting process which avoids phase slips, i.e., which does not go through zero amplitude. |
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