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Darboux-Lamé equation and isomonodromic deformation

Mayumi Ohmiya

Abstract and Applied Analysis, 2004, vol. 2004, 1-14

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 P 1 correspondingto the second Darboux-Lamé equation is obtained as isomonodromic deformation of some specific Gauss' hypergeometric differential equation.

Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:609426

DOI: 10.1155/S108533750430309X

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