TY - JOUR
T1 - On the reductions and classical solutions of the Schlesinger equations
JF - Differential equations and quantum groups, IRMA Lect. Math. Theor. Phys. 9 (2007) 157-187
Y1 - 2007
A1 - Boris Dubrovin
A1 - Marta Mazzocco
AB - The Schlesinger equations S(n,m) describe monodromy preserving\\r\\ndeformations of order m Fuchsian systems with n+1 poles. They\\r\\ncan be considered as a family of commuting time-dependent Hamiltonian\\r\\nsystems on the direct product of n copies of m×m matrix algebras\\r\\nequipped with the standard linear Poisson bracket. In this paper we address\\r\\nthe problem of reduction of particular solutions of “more complicated”\\r\\nSchlesinger equations S(n,m) to “simpler” S(n′,m′) having n′ < n\\r\\nor m′ < m.
PB - SISSA
UR - http://hdl.handle.net/1963/6472
U1 - 6418
U2 - Mathematics
U4 - 1
U5 - MAT/07 FISICA MATEMATICA
ER -