Darboux-Lamé equation and isomonodromic deformation
Ohmiya, Mayumi
Abstr. Appl. Anal., Tome 2004 (2004) no. 1, p. 511-524 / Harvested from Project Euclid
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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 $\mathbf{P}_1$ corresponding to the second Darboux-Lamé equation is obtained as isomonodromic deformation of some specific Gauss' hypergeometric differential equation.
Publié le : 2004-05-17
Classification:  34M55,  34M35 
@article{1086104027,
     author = {Ohmiya, Mayumi},
     title = {Darboux-Lam\'e equation and isomonodromic deformation},
     journal = {Abstr. Appl. Anal.},
     volume = {2004},
     number = {1},
     year = {2004},
     pages = { 511-524},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1086104027}
}

Ohmiya, Mayumi. Darboux-Lamé equation and isomonodromic deformation. Abstr. Appl. Anal., Tome 2004 (2004) no. 1, pp.  511-524. http://gdmltest.u-ga.fr/item/1086104027/