Analytical solutions of the Ginzburg–Landau equations for deformable superconductors in a weak magnetic field

The objective of this paper is to obtain the analytical solutions which satisfy the differential Ginzburg–Landau equations and some boundary conditions. Based on the linear deformation theory, the effects of prestrain on the wave function and magnetic potential of deformable superconductors have been investigated in the presence of a weak magnetic field. The results show that for the superconductors with a linearly elastic deformation, the wave function in the materials should be considered for two different cases, i.e., type I and type II. The prestrain effect in deformable superconductors should not be neglected in determining the superconductivity in superconductors.