Double Bäcklund transformations and special integrals for the \(K_{II}\) hierarchy

DOI10.1016/S0375-9601(00)00479-5zbMath1115.37355MaRDI QIDQ997716

Nikolay A. Kudryashov

Publication date: 7 August 2007

Published in: Physics Letters. A (Search for Journal in Brave)

zbMATH Keywords

Painlevé propertyrational solutionsBäcklund transformationshierarchytranscendents

Mathematics Subject Classification ID

Related Items (18)

On the properties of solutions of equations in the \(K_{2}\) hierarchy ⋮ Special polynomials associated with the fourth order analogue to the Painlevé equations ⋮ Lax pairs and special polynomials associated with self-similar reductions of Sawada -- Kotera and Kupershmidt equations ⋮ A special solution technique: further extensions ⋮ Higher Painlevé transcendents as special solutions of some nonlinear integrable hierarchies ⋮ Special polynomials associated with some hierarchies ⋮ Bäcklund transformations for a new extended Painlevé hierarchy ⋮ On matrix fourth Painlevé hierarchies ⋮ A Lagrangian description of the higher-order Painlevé equations ⋮ Power expansions for solution of the fourth-order analog to the first Painlevé equation ⋮ Rational and special solutions for some Painlevé hierarchies ⋮ Power and non-power expansions of the solutions for the fourth-order analogue to the second Painlevé equation ⋮ On fourth-order nonlinear differential equations with the Painlevé property ⋮ Fuchs indices and the first integrals of nonlinear differential equations ⋮ Bäcklund transformations for higher order Painlevé equations ⋮ Bäcklund transformation of matrix equations and a discrete matrix first Painlevé equation ⋮ Special polynomials associated with rational solutions of some hierarchies ⋮ Lax pairs and rational solutions of similarity reductions for Kupershmidt and Sawada-Kotera hierarchies

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