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Geometry and multidimensional soliton equations
Authors:R Myrzakulov  A K Danlybaeva  G N Nugmanova
Institution:(1) Physicotechnical Institute, Ministry of Science and Academy of Sciences of Kazakhstan, Alma-Ata, Kazakhstan
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. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 118, No. 3, pp. 441–451, March, 1999.
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