Search results for "Base d'homologie"

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L'identité de Fay en théorie des systèmes intégrables

2011

Fay's identity on Riemann surfaces is a powerful tool in the context of algebro-geometric solutions to integrable equations. This relation generalizes a well-known identity for the cross-ratio function in the complex plane. It allows to establish relations between theta functions and their derivatives. This offers a complementary approach to algebro-geometric solutions of integrable equations with certain advantages with respect to the use of Baker-Akhiezer functions. It has been successfully applied by Mumford et al. to the Korteweg-de Vries, Kadomtsev-Petviashvili and sine-Gordon equations. Following this approach, we construct algebro-geometric solutions to the Camassa-Holm and Dym type …

Identité de FayOvale réelSolutions algébro-géométriques[ MATH.MATH-GM ] Mathematics [math]/General Mathematics [math.GM]Equation de Camassa-HolmBase d'homologieAlgorithme de Tretkoff-TretkoffEquation de Schrödinger non linéaire vectorielle[MATH.MATH-GM] Mathematics [math]/General Mathematics [math.GM]Equation de Davez-StewartsonEDPApplication d'uniformisationCourbe algébriqueSurface de Riemann[MATH.MATH-GM]Mathematics [math]/General Mathematics [math.GM]Breather rationnelSolitonDégénérescence de surface de RiemannFonction thêtaNo english keywordsPériodes de différentielles holomorphesThêta diviseur
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