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 Publish in OALib Journal ISSN: 2333-9721 APC: Only $99  Views Downloads  Relative Articles Garnier system in two variables and its symmetry and holomorphy conditions Symmetric Hamiltonian of the Garnier system and its degenerate systems in two variables "Quantizations" of isomonodromic Hamiltonian Garnier system with two degrees of freedom Special Solutions and Linear Monodromy for the Two-Dimensional Degenerate Garnier System G(1112) Affine Weyl group symmetry of the Garnier system Classical solutions of the degenerate Garnier system and their coalescence structures Toda equation and special polynomials associated with the Garnier system The geometry of the classical solutions of the Garnier systems Irregular isomonodromic deformations for Garnier systems and Okamoto's canonical transformations About coordinates on the phase-spaces of Schlesinger system ($n+1$matrices,$sl(2,C)\$-case) and Garnier--Painlevé 6 system More...
Mathematics  2007

# Studies on the Garnier system in two variables

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Abstract:

We study some Hamiltonian structures of the Garnier system in two variables from the viewpoints of its symmetry and holomorphy properties. We also give a generalization of {\it Okamoto transformation \it}of the sixth Painlev\'e system.

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