Abstract:
In the note we give a new method of derivation of the Backlund transformation for the nonlinear Schrodinger equation. We discuss conserved quantities related to this transformation, and how it can be connected with the inverse scattering method. Besides, we construct a quantum analog of the Backlund transformation defined by the Baxter's $Q$-operator.
Key words and phrases:nonlinear Schrodinger equation, Backlund transformation, symmetries, integrability, inverse scattering method, Baxter Q-operatorlinear operator defines.
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