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Algebraic integrability, Painlevé geometry and lie algebras

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Aimed at a wide readership of mathematicians and physicists, graduate students and professionals The main thrust of the book is to show how algebraic geometry, Lie theory and Painlevé analysis can be used to explicitly solve integrable differential equations and to construct the algebraic tori on which they linearize The book is reasonably self-contained and presents numerous examples Includes supplementary material: sn. pub/extras

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Algebraic integrability, Painlevé geometry and lie algebras, Mark Adler

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2004
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