Nonlinear Schr\"odinger equations admitted by auto-B\"acklund transformations
Teoretičeskaâ i matematičeskaâ fizika, Tome 100 (1994) no. 2, pp. 199-213
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A generalized formulation of Bäcklund transformations that carry a nonlinear Schrödinger equation into itself is considered, and a class of potentials that satisfy these transformations is found. A set of operators that simplify the analysis of the Lamb equations is introduced.
@article{TMF_1994_100_2_a3,
author = {R. A. Mishaev and E. Sh. Teplitsky},
title = {Nonlinear {Schr\"odinger} equations admitted by {auto-B\"acklund} transformations},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {199--213},
publisher = {mathdoc},
volume = {100},
number = {2},
year = {1994},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1994_100_2_a3/}
}
TY - JOUR AU - R. A. Mishaev AU - E. Sh. Teplitsky TI - Nonlinear Schr\"odinger equations admitted by auto-B\"acklund transformations JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1994 SP - 199 EP - 213 VL - 100 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1994_100_2_a3/ LA - ru ID - TMF_1994_100_2_a3 ER -
%0 Journal Article %A R. A. Mishaev %A E. Sh. Teplitsky %T Nonlinear Schr\"odinger equations admitted by auto-B\"acklund transformations %J Teoretičeskaâ i matematičeskaâ fizika %D 1994 %P 199-213 %V 100 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1994_100_2_a3/ %G ru %F TMF_1994_100_2_a3
R. A. Mishaev; E. Sh. Teplitsky. Nonlinear Schr\"odinger equations admitted by auto-B\"acklund transformations. Teoretičeskaâ i matematičeskaâ fizika, Tome 100 (1994) no. 2, pp. 199-213. http://geodesic.mathdoc.fr/item/TMF_1994_100_2_a3/