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arxiv: nlin/0603069 · v1 · submitted 2006-03-30 · 🌊 nlin.SI

On the integrable inhomogeneous Myrzakulov I equation

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keywords inhomogeneousequationintegrablemyrzakulovadditionalcounterpartcurvesdimensional
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By using the prolongation structure theory proposed by Morris, we give a (2+1)-dimensional integrable inhomogeneous Heisenberg Ferromagnet models, namely, the inhomogeneous Myrzakulov I equation. Through the motion of space curves endowed with an additional spatial variable, its geometrical equivalent counterpart is also presented.

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    Establishes geometrical equivalence between the Camassa-Holm equation and the M-CIV equation via curve motion and demonstrates gauge equivalence between them.