Results 141 to 150 of about 211 (181)

Coulomb integrals in Liouville theory and Liouville gravity

JETP Letters, 2007
The four-point correlation function has been studied in Liouville field theory. If one of the fields is degenerate, such a function is described in terms of Coulomb integrals. Some nontrivial relations for these integrals have been found that can be used to obtain new exact results in conformal field theory.
Fateev, V.A., Litvinov, A.V.
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INTEGRATING SUPER-LIOUVILLE SYSTEM WITHOUT INTEGRATION

Modern Physics Letters A, 2000
Explicit solutions of super-Liouville equation are obtained by the use of a super-extension of the so-called Drinfeld–Sokolov construction. Such solutions can be proved to be local and super-periodic using earlier results of Toppan on exchange algebras based on super-Drinfeld–Sokolov linear systems and of Babelon et al.
YI ZHEN, LIU ZHAO, ZHANYING YANG
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A New Liouville Integrable Hamiltonian System

Communications in Theoretical Physics, 2010
Summary: With the help of a Lie algebra, an isospectral Lax pair is introduced for which a new Liouville integrable hierarchy of evolution equations is generated. Its Hamiltonian structure is also worked out by use of the quadratic-form identity.
Guo, Fu-Kui, Zhang, Yu-Feng
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Liouville and Riemann-Liouville fractional derivatives via contour integrals

Fractional Calculus and Applied Analysis, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Morita, Tohru, Sato, Ken-ichi
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Liouville Integrable Systems

2013
The present chapter deals with the main application of Poisson structures: the theory of integrable Hamiltonian systems. We give the basic definitions and properties of functions in involution and of the momentum map, associated to them. We also give several constructions of functions in involution: Poisson’s theorem, the Hamiltonian form of Noether’s ...
Camille Laurent-Gengoux, Anne Pichereau, Pol Vanhaecke   +2 more
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Moduli integrals in liouville gravity

Czechoslovak Journal of Physics, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Complete integrability beyond Liouville-Arnol'd

Reports on Mathematical Physics, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bates, L., Cushman, R.H.
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Spinning gas clouds: Liouville integrability

Journal of Physics A: Mathematical and General, 2001
Summary: This paper constitutes a generalization to arbitrary states of rotation of an earlier work [the author, J. Phys. A 34, No. 11, 2087--2095 (2001; Zbl 1001.76085)] in which we showed Liouville integrability of the expanding and rotating gas cloud model of Ovsyannikov and Dyson in cases of rotation around a fixed principal axis.
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Energy Conserving, Liouville, and Symplectic Integrators

Journal of Computational Physics, 1995
In the last few years most research in the numerical solution of ordinary differential equations has been addressed to the development of methods adapted to special problems. In particular, a complete theory of symplectic methods for Hamiltonian systems has been constructed [see e.g. \textit{J. M. Sanz-Serna} and \textit{M. P.
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A LIOUVILLE INTEGRABLE MULTI-COMPONENT INTEGRABLE SYSTEM AND ITS INTEGRABLE COUPLINGS

International Journal of Modern Physics B, 2010
A Liouville integrable multi-component integrable system is obtained by the vector loop algebra. Then, the integrable couplings of the above system are presented by using the expanding vector loop algebra [Formula: see text] of the [Formula: see text].
Zhu, Li, Yang, Hongwei, Dong, Huanhe
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