Abstract and Applied Analysis
Volume 2004 (2004), Issue 6, Pages 511-524
doi:10.1155/S108533750430309X
Darboux-Lamé equation and isomonodromic deformation
School of Engineering, Doshisha University, Kyotanabe 610-0394, Japan
Received 10 September 2002
Copyright © 2004 Mayumi Ohmiya. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
The Darboux-Lamé equation is defined as the double Darboux
transformation of the Lamé equation, and is studied from the
viewpoint of the isomonodromic deformation theory. It is shown
that the second-order ordinary differential equation of Fuchsian
type on P1 correspondingto the second
Darboux-Lamé equation is obtained as isomonodromic
deformation of some specific Gauss' hypergeometric differential
equation.