Abstract
We give an introduction to the Kowalevski exponents theory for non linear similarity invariant differential equations. The connection between the arithmetic nature of the exponents and the algebraic integrability is discussed in detail. In a second part, the importance of the Riemann surface associated to the singularities generated by complex Kowalevski exponents is emphasized.
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© 1990 Kluwar Academic Publishers
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Bessis, D. (1990). An Introduction to Kowalevski’s Exponents. In: Conte, R., Boccara, N. (eds) Partially Intergrable Evolution Equations in Physics. NATO ASI Series, vol 310. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0591-7_11
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DOI: https://doi.org/10.1007/978-94-009-0591-7_11
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-6754-6
Online ISBN: 978-94-009-0591-7
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