PERTURBATIVE SOLUTIONS OF THE GINZBURG-LANDAU EQUATION AND THE SUPERCONDUCTING PARAMETERS

Using the modulus-s of the elliptic function sn(theta,s) as a paramete r of nonlinearity we construct the perturbative solutions of the Ginzb urg-Landau equation in the presence of spatial gradients. The resulted analytical expressions describe the temperature dependence of the sup erconducting parameters, except the s-->1 limit. The analytical expres sions which led to the temperature dependence of the superconducting p arameters as the coherence length xi(t), the superconducting charge ca rriers concentration n(s)(t), the penetration depth lambda(t), and the thermodynamic critical field H-c(t) are found.