Symmetries and Integrability
Božidar Jovanović (2008)
Publications de l'Institut Mathématique
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Displaying similar documents to “New semi-Hamiltonian hierarchy related to integrable magnetic flows on surfaces”
Symmetries and Integrability
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...
A finite-dimensional integrable system associated with a polynomial eigenvalue problem.
Xu, Taixi, Mu, Weihua, Qiao, Zhijun (2006)
International Journal of Mathematics and Mathematical Sciences
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A new hierarchy of integrable system of dimensions: from Newton's law to generalized Hamiltonian system. II.
Huang, Xuncheng, Tu, Guizhang (2006)
International Journal of Mathematics and Mathematical Sciences
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Geodesic flows on the Bott-Virasoro group with Dubinskii norm.
Guha, Partha (2005)
Applied Mathematics E-Notes [electronic only]
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Geodesics in the compactly supported Hamiltonian diffeomorphism group.
Yiming Long (1995)
Mathematische Zeitschrift
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The averaging of nonlocal Hamiltonian structures in Whitham's method.
Maltsev, Andrei Ya. (2002)
International Journal of Mathematics and Mathematical Sciences
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Geometric integrators for piecewise smooth Hamiltonian systems
Philippe Chartier, Erwan Faou (2008)
ESAIM: Mathematical Modelling and Numerical Analysis
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In this paper, we consider Hamiltonian systems. We prove the existence of a first derivative of the flow with respect to initial values and show that it satisfies the symplecticity condition almost everywhere in the phase-space. In a second step, we present a geometric integrator for such systems (called the method) based on B-splines interpolation and a splitting method introduced by McLachlan and Quispel [. (2003) 411–418], and we prove it is convergent, and that...
On the Principle of Stationary Isoenergetic Action
Božidar Jovanović (2012)
Publications de l'Institut Mathématique
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Hamiltonian Systems Close to Integrable Systems
E. Zenhder (1975)
Publications mathématiques et informatique de Rennes
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Andrew Lenard: a mystery unraveled.
Praught, Jeffery, Smirnov, Roman G. (2005)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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By Magri's theorem, self-dual gravity is completely integrable.
Nutku, Yavuz (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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