Geodesic
Geometry and multidimensional soliton equations
Teoretičeskaâ i matematičeskaâ fizika, Tome 118 (1999) no. 3, pp. 441-451

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The connection between the differential geometry of curves and $(2+1)$-dimensional integrable systems is established. The Zakharov equation, the modified Veselov–Novikov equation, the modified Korteweg–de Vries equation, etc., are equivalent in the Lakshmanan sense to $(2+1)$-dimensional spin systems. 
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     author = {R. Myrzakulov and A. K. Danlybaeva and G. N. Nugmanova},
     title = {Geometry and multidimensional soliton equations},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     volume = {118},
     number = {3},
     year = {1999},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1999_118_3_a14/}
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R. Myrzakulov; A. K. Danlybaeva; G. N. Nugmanova. Geometry and multidimensional soliton equations. Teoretičeskaâ i matematičeskaâ fizika, Tome 118 (1999) no. 3, pp. 441-451. http://geodesic.mathdoc.fr/item/TMF_1999_118_3_a14/