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On the integrable inhomogeneous Myrzakulov I equation

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arxiv nlin/0603069 v1 pith:6SWR6NHC submitted 2006-03-30 nlin.SI

Zhen-Huan Zhang , Ming Deng , Wei-Zhong Zhao , Ke Wu This is my paper · ORCID
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Integrable Deformation of Space Curves, Generalized Heisenberg Ferromagnet Equation and Two-Component Modified Camassa-Holm Equation

    nlin.SI 2019-08 reject novelty 4.0 of 10

    The paper asserts a geometric equivalence between the M-CV and 2-mCHE equations via space curve flows, but the derivation is an ansatz and the gauge equivalence is unpublished.

  2. Integrable Motion of Curves, Spin Equation and Camassa-Holm Equation

    nlin.SI 2019-07 unverdicted novelty 3.0 of 10

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

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