Symmetric Hamiltonian of the Garnier system and its degenerate systems in two variables
Algebraic Geometry
2011-02-15 v6 Mathematical Physics
Analysis of PDEs
Classical Analysis and ODEs
Dynamical Systems
math.MP
Abstract
We present {\it symmetric Hamiltonians} for the degenerate Garnier systems in two variables. For these symmetric Hamiltonians, we make the symmetry and holomorphy conditions, and we also make a generalization of these systems involving symmetry and holomorphy conditions inductively. We also show the confluence process among each system by taking the coupling confluence process of the Painlev\'e systems.
Keywords
Cite
@article{arxiv.0706.0799,
title = {Symmetric Hamiltonian of the Garnier system and its degenerate systems in two variables},
author = {Yusuke Sasano},
journal= {arXiv preprint arXiv:0706.0799},
year = {2011}
}
Comments
40 pages, 1 figure