Generalization of the Kink solution for superconductors with large penetration depths in the Ginzburg-Landau formalism

Exact solutions of the anisotropic Ginzburg-Landau equation are derived in the elliptic function formalism. The general class of solutions is describe d by sn(u\k), of argument u and modulus k, which, in the limit k much less than 1, is approximated by sinus and, in the limit k-->1, by the well-known kink solution. The superconducting carrier concentration, n(s), penetratio n depth, lambda, and critical held, H-c are calculated. The concordance wit h experimental data and other theories is in good agreement in the range Fr om 0.8T(c) until the critical temperature. (C) 1999 Elsevier Science Ltd. A ll rights reserved.