Affine Weyl group symmetries of Frobenius Painlevé equations

DOI10.1002/MMA.6116zbMath1451.37097OpenAlexW2998524017MaRDI QIDQ5120064

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Publication date: 9 September 2020

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.6116

zbMATH Keywords

similarity reductionHamilton systemaffine Weyl group symmetryFrobenius Painlevé II equationFrobenius Painlevé IV equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Special approximation methods (nonlinear Galerkin, etc.) for infinite-dimensional dissipative dynamical systems (37L65)

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