Zy. Chen et Nn. Huang, COMPLETENESS OF THE JOST SOLUTIONS IN THE CASE OF THE NLS EQUATION UNDER THE NONVANISHING BOUNDARY-CONDITION, Communications in Theoretical Physics, 21(2), 1994, pp. 181-186
Completeness of the Jost solutions in the case of the NLS equation und
er the nonvanishing boundary condition is proved based upon the invers
e scattering transform in terms of the auxiliary spectral parameter.