Abstract
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 Kortewegde Vries equation, etc., are equivalent in the Lakshmanan sense to (2+1)-dimensional spin systems.
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 118, No. 3, pp. 441–451, March, 1999.
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Myrzakulov, R., Danlybaeva, A.K. & Nugmanova, G.N. Geometry and multidimensional soliton equations. Theor Math Phys 118, 347–356 (1999). https://doi.org/10.1007/BF02557332
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DOI: https://doi.org/10.1007/BF02557332