Multisoliton complexes moving on a cnoidal wave background

We obtain solutions of coupled nonlinear Schrodinger equations which describe multisoliton complexes moving on a cnoidal-wave background. Our method is based on the Darboux transformation, which uses Sym's solution of the associated linear equation. Solutions are presented in a matrix determinant form, matrix elements of which are expressed in terms of Jacobi's elliptic functions. Some characteristics of multisoliton complexes like widths and amplitudes are explicitly calculated.