Geodesic
Backlund transformation for the nonlinear Schrodinger equation
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 27, Tome 494 (2020), pp. 5-22

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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. 
@article{ZNSL_2020_494_a0,
     author = {N. M. Belousov},
     title = {Backlund transformation for the nonlinear {Schrodinger} equation},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {5--22},
     publisher = {mathdoc},
     volume = {494},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2020_494_a0/}
}
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N. M. Belousov. Backlund transformation for the nonlinear Schrodinger equation. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 27, Tome 494 (2020), pp. 5-22. http://geodesic.mathdoc.fr/item/ZNSL_2020_494_a0/