On classical -matrix for the Kowalevski gyrostat on .
Komarov, Igor V., Tsiganov, Andrey V. (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Displaying similar documents to “Bäcklund transformations for the trigonometric Gaudin magnet.”
On classical -matrix for the Kowalevski gyrostat on .
Bäcklund transformation for the BC-type Toda lattice.
Kuznetsov, Vadim, Sklyanin, Evgeny (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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From Gaudin models to integrable tops.
Petrera, Matteo, Ragnisco, Orlando (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Consimilarity and quaternion matrix equations AX −^X B = C, X − A^X B = C
Tatiana Klimchuk, Vladimir V. Sergeichuk (2014)
Special Matrices
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L. Huang [Consimilarity of quaternion matrices and complex matrices, Linear Algebra Appl. 331 (2001) 21–30] gave a canonical form of a quaternion matrix with respect to consimilarity transformations A ↦ ˜S−1AS in which S is a nonsingular quaternion matrix and h = a + bi + cj + dk ↦ ˜h := a − bi + cj − dk (a, b, c, d ∈ ℝ). We give an analogous canonical form of a quaternion matrix with respect to consimilarity transformations A ↦^S−1AS in which h ↦ ^h is an arbitrary involutive automorphism...
Geometric construction of the classical r-matrix for the elliptic Calogero-Moser system
Gleb Arutyunov (1997)
Banach Center Publications
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By applying the Hamiltonian reduction technique we derive a matrix first order differential equation that yields the classical r-matrices of the elliptic (Euler-) Calogero-Moser systems as well as their degenerations.
Bäcklund-Darboux transformation for non-isospectral canonical system and Riemann-Hilbert problem.
Sakhnovich, Alexander (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Limits of Gaudin systems: classical and quantum cases.
Chervov, Alexander, Falqui, Gregorio, Rybnikov, Leonid (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Bäcklund transformations for first and second Painlevé hierarchies.
Sakka, Ayman Hashem (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Restricted flows and the soliton equation with self-consistent sources.
Lin, Runliang, Yao, Haishen, Zeng, Yunbo (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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A remark on common solutions of a pair of matrix equations.
Zhang, X. (2004)
Acta Mathematica Universitatis Comenianae. New Series
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Hamiltonian structure of pi hierarchy.
Takasaki, Kanehisa (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Multicomponent Burgers and KP hierarchies, and solutions from a matrix linear system.
Dimakis, Aristophanes, Müller-Hoissen, Folkert (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Representation of the Lorentz transformations in 6-dimensional space-time
Kostadin Trenčevski (2011)
Kragujevac Journal of Mathematics
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