Quantum version of the method of inverse scattering problem

This paper is a developed and consecutive account of a quantum version of the method of the inverse scattering problem on the example of the nonlinear Schrödinger equation. The method of $R$-matrices developed by the author is given basic consideration. The generating functions of quantum integrals of motion and action-angle variables for the quantum nonlinear Schrцdinger equation are obtained. There is also described a classical version of the method of $R$-matrices.