Spontaneous generation of s-wave component in a purely d-wave superconductor

We have derived microscopically the Ginzburg-Landau equations in a superconductor with d(x)2(-y)2 symmetry. We have found that s-wave order parameter is spontaneously generated in a purely d-wave superconductor whenever d-wave order parameter is inhomogeneous. Examples presented are the structure of a single vortex and superconductor boundary. We have also obtained the time dependent Ginzburg-Laudau equations for such a superconductor.