Equivalence of the nonlinear Schrödinger equation and the equation of a Heisenberg ferromagnet
Teoretičeskaâ i matematičeskaâ fizika, Tome 38 (1979) no. 1, pp. 26-35
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The concept of gauge equivalence is introduced for nonlinear equations that can be integrated by the inverse scattering technique. It is shown that the nonlinear Schrödinger equation is equivalent to a continuous isotropic chain of Heisenberg spins.
@article{TMF_1979_38_1_a2,
author = {V. E. Zakharov and L. A. Takhtadzhyan},
title = {Equivalence of the nonlinear {Schr\"odinger} equation and the equation of {a~Heisenberg} ferromagnet},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {26--35},
year = {1979},
volume = {38},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1979_38_1_a2/}
}
TY - JOUR AU - V. E. Zakharov AU - L. A. Takhtadzhyan TI - Equivalence of the nonlinear Schrödinger equation and the equation of a Heisenberg ferromagnet JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1979 SP - 26 EP - 35 VL - 38 IS - 1 UR - http://geodesic.mathdoc.fr/item/TMF_1979_38_1_a2/ LA - ru ID - TMF_1979_38_1_a2 ER -
%0 Journal Article %A V. E. Zakharov %A L. A. Takhtadzhyan %T Equivalence of the nonlinear Schrödinger equation and the equation of a Heisenberg ferromagnet %J Teoretičeskaâ i matematičeskaâ fizika %D 1979 %P 26-35 %V 38 %N 1 %U http://geodesic.mathdoc.fr/item/TMF_1979_38_1_a2/ %G ru %F TMF_1979_38_1_a2
V. E. Zakharov; L. A. Takhtadzhyan. Equivalence of the nonlinear Schrödinger equation and the equation of a Heisenberg ferromagnet. Teoretičeskaâ i matematičeskaâ fizika, Tome 38 (1979) no. 1, pp. 26-35. http://geodesic.mathdoc.fr/item/TMF_1979_38_1_a2/
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