The L-equivalent counterpart of the M-III equation
Differential Geometry
2012-04-15 v1
Abstract
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.
Cite
@article{arxiv.math/9909155,
title = {The L-equivalent counterpart of the M-III equation},
author = {R. Myrzakulov and A. K. Danlybaeva},
journal= {arXiv preprint arXiv:math/9909155},
year = {2012}
}
Comments
Latex, 15 pages, no figures
Related papers
View all related →
Mathematical Physics · Physics
A (2+1)-dimensional integrable spin model(the M-XXII equation) and Differential geometry of curves/surfaces
R. Myrzakulov
2007-05-23
Exactly Solvable and Integrable Systems · Physics
Integrable geometric flows of interacting curves/surfaces, multilayer spin systems and the vector nonlinear Schr\"odinger equation
Akbota Myrzakul, Ratbay Myrzakulov
2016-08-31
Differential Geometry · Mathematics
Geometry and integrability of the M-LXIX equation
Kuralay Myrzakul, R. Myrzakulov
2007-05-23
Algebraic Geometry · Mathematics
L-equivalence for degree five elliptic curves, elliptic fibrations and K3 surfaces
Evgeny Shinder, Ziyu Zhang
2020-04-29
Exactly Solvable and Integrable Systems · Physics
Integrable motion of two interacting curves, spin systems and the Manakov system
Akbota Myrzakul, Ratbay Myrzakulov
2017-06-07
Exactly Solvable and Integrable Systems · Physics
Integrable Flows of Curves/Surfaces, Generalized Heisenberg Ferromagnet Equation and Complex Coupled Dispersionless Equation
Guldana Bekova, Kuralay Yesmakhanova, Gaukhar Shaikhova, Gulgassyl Nugmanova +1
2018-12-06
Exactly Solvable and Integrable Systems · Physics
Integrable Motion of Curves, Spin Equation and Camassa-Holm Equation
Assem Mussatayeva, Tolkynay Myrzakul, Gulgassyl Nugmanova, Kuralay Yesmakhanova +1
2019-07-26
solv-int · Physics
On the simplest (2+1) dimensional integrable spin systems and their equivalent nonlinear Schr\"odinger equations
R. Myrzakulov, S. Vijayalakshmi, R. N. Syzdykova, M. Lakshmanan
2009-10-31
solv-int · Physics
Surfaces, curves and the Lakshmanan equivalent counterparts of the some Myrzakulov equations
G. N. Nugmanova
2007-05-23
Differential Geometry · Mathematics
Variationality of geodesic circles in two dimensions
R. Ya. Matsyuk
2014-07-24
Pattern Formation and Solitons · Physics
Integrable Motion of Curves in Self-Consistent Potentials : Relation to Spin Systems and Soliton Equations
R. Myrzakulov, G. K. Mamyrbekova, G. N. Nugmanova, K. R. Yesmakhanova +1
2015-06-19
solv-int · Physics
Motion of Curves and Surfaces and Nonlinear Evolution Equations in (2+1) Dimensions
M. Lakshmanan, R. Myrzakulov, S. Vijayalakshmi, A. K. Danlybaeva
2013-10-15
Exactly Solvable and Integrable Systems · Physics
Notes on Integrable Motion of Two Interacting Curves and Two-layer Generalized Heisenberg Ferromagnet Equations
Zhaidary Myrzakulova, Akbota Myrzakul, Gulgassyl Nugmanova, Ratbay Myrzakulov
2018-11-30
Exactly Solvable and Integrable Systems · Physics
Integrable Deformation of Space Curves, Generalized Heisenberg Ferromagnet Equation and Two-Component Modified Camassa-Holm Equation
Bayan Kutum, Gulgassyl Nugmanova, Tolkynay Myrzakul, Kuralay Yesmakhanova +1
2019-08-06
Quantum Physics · Physics
A Relationship Between Spin and Geometry
Peter T. J. Bradshaw
2023-06-02
Differential Geometry · Mathematics
Spheres and circles with respect to an indefinite metric on a Riemannian manifold with circulant structures
Georgi Dzhelepov
2017-03-31
Differential Geometry · Mathematics
Three-dimensional Riemannian manifolds with circulant structures
Iva Dokuzova, Dimitar Razpopov, Georgi Dzhelepov
2019-04-24
Exactly Solvable and Integrable Systems · Physics
Integrable inhomogeneous Lakshmanan-Myrzakulov equation
K. R. Esmakhanova, G. N. Nugmanova, Wei-Zhong Zhao, Ke Wu
2007-05-23
solv-int · Physics
On the M-XX equation
R. Myrzakulov
2007-05-23
High Energy Physics - Theory · Physics
Multi-cover skeins, quivers, and 3d $\mathcal{N}=2$ dualities
Tobias Ekholm, Piotr Kucharski, Pietro Longhi
2020-02-12
solv-int · Physics
A (2+1) dimensional integrable spin model: Geometrical and gauge equivalent counterpart, solitons and localized coherent structures
R. Myrzakulov, S. Vijayalakshmi, G. N. Nugmanova, M. Lakshmanan
2013-10-15
Differential Geometry · Mathematics
Killing spinor-valued forms and the cone construction
Petr Somberg, Petr Zima
2016-05-24
Exactly Solvable and Integrable Systems · Physics
Motion of Space Curves in Three-dimensional Minkowski Space $R_1^{3}$, SO(2,1) Spin Equation and Defocusing Nonlinear Schr\"odinger Equation
Gopal Muniraja, M. Lakshmanan
2010-04-23
Geometric Topology · Mathematics
Invariants in Quantum Geometry
Adrian P. C. Lim
2020-06-05
Representation Theory · Mathematics
A correspondence between rigid modules over path algebras and simple curves on Riemann surfaces
Kyu-Hwan Lee, Kyungyong Lee
2017-10-18