Geodesic
Generation of new exactly solvable potentials of a~nonstationary Schr\"odinger equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 87 (1991) no. 3, pp. 426-433

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A method for generating integrable potentials of a nonstationary Schrödinger equation (i.e., with time-dependent potential) is developed on the basis of the method of “dressing” of linear differential operators. Potentials that admit separation of the variables generate classes of nonseparating potentials for which the Schrödinger equation has nonlocal symmetry operators. 
@article{TMF_1991_87_3_a6,
     author = {V. G. Bagrov and A. V. Shapovalov and I. V. Shirokov},
     title = {Generation of new exactly solvable potentials of a~nonstationary {Schr\"odinger} equation},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {426--433},
     publisher = {mathdoc},
     volume = {87},
     number = {3},
     year = {1991},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1991_87_3_a6/}
}
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V. G. Bagrov; A. V. Shapovalov; I. V. Shirokov. Generation of new exactly solvable potentials of a~nonstationary Schr\"odinger equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 87 (1991) no. 3, pp. 426-433. http://geodesic.mathdoc.fr/item/TMF_1991_87_3_a6/