Quasi-energy spectral series for a nonlocal Gross-Pitaevskii equation

For a nonlocal Gross-Pitaevskii operator, quasi-energy spectral series have been constructed accurate to O(?^3/2). These series correspond to the closed phase trajectories of the Hamilton-Ehrenfest system, which are stable in a linear approximation. The corresponding monodromy operator has been constructed accurate to Õ(?^3/2) in the class of trajectory-coherent functions.