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Integrable inhomogeneous Lakshmanan-Myrzakulov equation

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arxiv nlin/0604034 v1 pith:ZRBD5GL5 submitted 2006-04-17 nlin.SI

K.R. Esmakhanova , G.N. Nugmanova , Wei-Zhong Zhao , Ke Wu This is my paper · ORCID
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keywords equationinhomogeneousintegrablelakshmanan-myrzakulovconstructedcorrespondingcounterpartdimensional
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The integrable inhomogeneous extension of the Lakshmanan-Myrzakulov equation is constructed by using the prolongation structure theory. The corresponding L-equivalent counterpart is also given, which is the (2+1)-dimensional generalized NLSE.

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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the M-CV and 2-mCHE equations via space curve flows, but the derivation is an ansatz and the gauge equivalence is unpublished.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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