TY - JOUR
T1 - On the Logarithmic Asymptotics of the Sixth Painleve\' Equation (Summer 2007)
JF - J.Phys.A: Math.Theor. 41,(2008), 205201-205247
Y1 - 2008
A1 - Davide Guzzetti
AB - We study the solutions of the sixth Painlev\'e equation with a logarithmic\r\nasymptotic behavior at a critical point. We compute the monodromy group\r\nassociated to the solutions by the method of monodromy preserving deformations\r\nand we characterize the asymptotic behavior in terms of the monodromy itself.
PB - SISSA
UR - http://hdl.handle.net/1963/6521
N1 - This paper appeared as a preprint in August 2007. It is published in Journal of Physics A: Mathematical and Theoretical, Volume 41, Issue 20, 6 May 2008, p. 205201-205247. It was on the archive in January 2008 (arXiv:0801.1157). This version does not differ from the published one except for two facts: 1)the addition of subsection 8.2, which proves that tr(M0Mx) = −2 for solutions y(x) ∼ a (ln x)n , n = 1, 2, x → 0. 2). The title of the journal article is : The logarithmic asymptotics of the sixth Painlevé equation
U1 - 6473
U2 - Mathematics
U4 - 1
U5 - MAT/07 FISICA MATEMATICA
ER -