Abstract:
It is shown that a nonlinear Schrödinger equation, regarded as the Hamiltonian of a system, is completely integrable. A transition to angle and action variables is made by means of the S-matrix of the one-dimensional Dirae operator.
Citation:
V. E. Zakharov, S. V. Manakov, “On the complete integrability of a nonlinear Schrödinger equation”, TMF, 19:3 (1974), 332–343; Theoret. and Math. Phys., 19:3 (1974), 551–559