  The theory of superconductivity can be divided into two groups depending on
whether it has multi-kink solutions. For example, the BCS theory and the
Gross-Neveu model have metastable multi-kink solutions whereas the conventional
Ginzburg-Landau theory without higher-derivative interactions does not have any
multi-kink solutions. In this paper, we systematically examine the solutions of
the holographic superconductor model to find out which group the model falls
into. We show that the holographic superconductor model has metastable
multi-kink solutions. In this sense, we find that the holographic
superconductor model falls into the category of the BCS theory and the
Gross-Neveu model. We also find that the holographic superconductor model has
kink crystalline condensates which are well-fitted by the Jacobi elliptic
functions.
