Geodesic
Auto-B\"acklund transformations for the nonlinear Schr\"odinger equation with variable coefficients
Teoretičeskaâ i matematičeskaâ fizika, Tome 102 (1995) no. 2, pp. 198-209

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A generalization of auto-Bäcklund transformations to the case of nonlinear equations with variable coefficients is considered, and the class of potentials for which the nonlinear Schrödinger equation admits these transformations is found. 
@article{TMF_1995_102_2_a2,
     author = {R. A. Mishaev},
     title = {Auto-B\"acklund transformations for the nonlinear {Schr\"odinger} equation with variable coefficients},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {198--209},
     publisher = {mathdoc},
     volume = {102},
     number = {2},
     year = {1995},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1995_102_2_a2/}
}
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R. A. Mishaev. Auto-B\"acklund transformations for the nonlinear Schr\"odinger equation with variable coefficients. Teoretičeskaâ i matematičeskaâ fizika, Tome 102 (1995) no. 2, pp. 198-209. http://geodesic.mathdoc.fr/item/TMF_1995_102_2_a2/