Geodesic
Additional symmetries of the nonlinear Schr\"odinger equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 64 (1985) no. 2, pp. 323-328

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A regular method is obtained for obtaining symmetries of the nonlinear Schrödinger equation that depend explicitly on $x$ and $t$ and also $L-A$ pairs for these symmetries. 
@article{TMF_1985_64_2_a13,
     author = {A. Yu. Orlov and E. I. Shulman},
     title = {Additional symmetries of the nonlinear {Schr\"odinger} equation},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {323--328},
     publisher = {mathdoc},
     volume = {64},
     number = {2},
     year = {1985},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1985_64_2_a13/}
}
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A. Yu. Orlov; E. I. Shulman. Additional symmetries of the nonlinear Schr\"odinger equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 64 (1985) no. 2, pp. 323-328. http://geodesic.mathdoc.fr/item/TMF_1985_64_2_a13/