Painlevé hierarchies and the Painlevé test
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Publication:2654824
DOI10.1023/B:TAMP.0000007921.75071.d9zbMath1178.37088MaRDI QIDQ2654824
Publication date: 21 January 2010
Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55)
Related Items (13)
Nonisospectral scattering problems and similarity reductions ⋮ On matrix Painlevé hierarchies ⋮ Second and fourth Painlevé hierarchies and Jimbo-Miwa linear problems ⋮ Asymptotic expansions of solutions to the second term of the fourth Painlevé hierarchy ⋮ Convergence of formal solutions to the second member of the fourth Painlevé hierarchy in a neighborhood of zero ⋮ Bäcklund transformations for a new extended Painlevé hierarchy ⋮ On the nesting of Painlevé hierarchies: a Hamiltonian approach ⋮ Triangle groups: automorphic forms and nonlinear differential equations ⋮ A method of reduction of order for discrete systems ⋮ The Prelle-Singer method and Painlevé hierarchies ⋮ On an extended second Painlevé hierarchy ⋮ Auto-Bäcklund transformations and integrability of ordinary and partial differential equations ⋮ Bäcklund transformations for fourth Painlevé hierarchies
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