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arxiv: math/9909155 · v1 · pith:QJFMCX4Znew · submitted 1999-09-25 · 🧮 math.DG

The L-equivalent counterpart of the M-III equation

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keywords equationm-iiicounterpartl-equivalentconnectioncurvesdifferentialdimensional
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The connection between differential geometry of curves and the (2+1)-dimensional integrable spin system - the M-III equation is established. Using the presented geometrical formalism the L-equivalent counterpart of the M-III equation is found.

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