Geometry and multidimensional soliton equations |
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Authors: | R Myrzakulov A K Danlybaeva G N Nugmanova |
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Institution: | (1) Physicotechnical Institute, Ministry of Science and Academy of Sciences of Kazakhstan, Alma-Ata, Kazakhstan |
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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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