Abstract
We define the transformation of linear differential equations with rational function coefficients that fix monodromy data and change local multiplicities by any sequence of integers. This transformation that gives rise to Padé approximations, at the same time defines the Backlund transformation of Schlesinger equations.
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This work was supported by contracts of the Office of Naval Research and NSF.
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Chudnovsky, D.V., Chudnovsky, G.V. The Bäcklund transformation for isomonodromy deformation Schlesinger equations. Lett Math Phys 4, 373–380 (1980). https://doi.org/10.1007/BF00417404
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DOI: https://doi.org/10.1007/BF00417404