In this paper, we study a 2D generalized Ginzburg-Landau equation with a periodic boundary condition. The existence and uniqueness of a time-periodic solution to this equation is proved.
Quasi-Periodic Solutions for the Generalized Ginzburg-Landau Equation with Derivatives in the Nonlinearity
✍ Scribed by Hongzi Cong; Meina Gao
- Publisher
- Springer US
- Year
- 2011
- Tongue
- English
- Weight
- 294 KB
- Volume
- 23
- Category
- Article
- ISSN
- 1040-7294
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📜 SIMILAR VOLUMES
The purpose of this work is a systematic study of symmetric vortices for the Ginzburg-Landau model of superconductivity along a cylinder, with applied magnetic ÿeld parallel to its axis. The Ginzburg-Landau constant Ä of the material and the degree d of the vortex are ÿxed. For any given parameters
Exact solutions of the anisotropic GinzburgÐLandau equation are derived in the elliptic function formalism[ The general class of solutions is described by sn"u=k#\ of argument u and modulus k\ which\ in the limit k³ ³0\ is approximated by sinus and\ in the limit k:0\ by the well!known kink solution[