The Hamiltonian structure of the second Painlevé hierarchy
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Publication:5443402
DOI10.1088/0951-7715/20/12/006zbMath1156.34079arXivnlin/0610066OpenAlexW3100100312MaRDI QIDQ5443402
Publication date: 21 February 2008
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/nlin/0610066
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 algebraic geometry, complex analysis, and special functions (37K20)
Related Items (15)
Higher Order Airy and Painlevé Asymptotics for the mKdV Hierarchy ⋮ Meromorphy of solutions for a wide class of ordinary differential equations of Painlevé type ⋮ Higher Painlevé transcendents as special solutions of some nonlinear integrable hierarchies ⋮ Systematic construction of nonautonomous Hamiltonian equations of Painlevé type. I. Frobenius integrability ⋮ Non-autonomous reductions of the KdV equation and multi-component analogs of the Painlevé equations P34 and P3 ⋮ Hamiltonian structure of rational isomonodromic deformation systems ⋮ Asymptotics of the deformed higher order Airy-kernel determinants and applications ⋮ A Lagrangian description of the higher-order Painlevé equations ⋮ On symmetries of the non-stationary PIIn hierarchy and their applications ⋮ Non-autonomous Hénon-Heiles system from Painlevé class ⋮ Rational and special solutions for some Painlevé hierarchies ⋮ The generalized Yablonskii-Vorob'ev polynomials and their properties ⋮ The sigma form of the second Painlevé hierarchy ⋮ A matrix model with a singular weight and Painlevé III ⋮ Twistor reductions of the KdV hierarchy
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