Integrable hierarchies: Painlevé indices and compatibility conditions

DOI10.1007/BF01017065zbMath0850.35102MaRDI QIDQ1918856

Andrew Pickering

Publication date: 3 September 1996

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Painlevé testPainlevé-Bäcklund transformationBurgers' hierarchyPainlevé index polynomial

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) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

Related Items (1)

A new derivation of Painlevé hierarchies

Cites Work

• A unified approach to Painlevé expansions
• A perturbative Painlevé approach to nonlinear differential equations
• The Painlevé property for partial differential equations
• Application of hereditary symmetries to nonlinear evolution equations
• Evolution equations possessing infinitely many symmetries
• The Weiss–Tabor–Carnevale Painlevé test and Burgers’ hierarchy
• Necessary condition for the existence of algebraic first integrals

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