The Lax integrable differential-difference dynamical systems on extended phase spaces.
Hentosh, Oksana Ye. (2010)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Displaying similar documents to “Integrable three-dimensional coupled nonlinear dynamical systems related to centrally extended operator Lie algebras and their Lax type three-linearization”
The Lax integrable differential-difference dynamical systems on extended phase spaces.
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Sheftel, M.B. (2004)
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Legaré, M. (2005)
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Maltsev, Andrei Ya. (2002)
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Huang, Xuncheng, Tu, Guizhang (2006)
International Journal of Mathematics and Mathematical Sciences
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Zhang-Ju Liu, Ping Xu (2001)
Annales de l’institut Fourier
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The purpose of this paper is to establish a connection between various objects such as dynamical -matrices, Lie bialgebroids, and Lagrangian subalgebras. Our method relies on the theory of Dirac structures and Courant algebroids. In particular, we give a new method of classifying dynamical -matrices of simple Lie algebras , and prove that dynamical -matrices are in one-one correspondence with certain Lagrangian subalgebras of .
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Božidar Jovanović (2008)
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Dragt, Alex J. (1997)
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Modulation of the Camassa-Holm equation and reciprocal transformations
Simonetta Abenda, Tamara Grava (2005)
Annales de l’institut Fourier
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We derive the modulation equations (Whitham equations) for the Camassa-Holm (CH) equation. We show that the modulation equations are hyperbolic and admit a bi-Hamiltonian structure. Furthermore they are connected by a reciprocal transformation to the modulation equations of the first negative flow of the Korteweg de Vries (KdV) equation. The reciprocal transformation is generated by the Casimir of the second Poisson bracket of the KdV averaged flow. We show that...