Geodesic
Equivalence of the nonlinear Schr\"odinger 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. 
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     title = {Equivalence of the nonlinear {Schr\"odinger} equation and the equation of {a~Heisenberg} ferromagnet},
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V. E. Zakharov; L. A. Takhtadzhyan. Equivalence of the nonlinear Schr\"odinger 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/