The generalized Yablonskii-Vorob'ev polynomials and their properties
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Publication:716990
DOI10.1016/j.physleta.2008.04.069zbMath1221.33033OpenAlexW1969593123MaRDI QIDQ716990
Maria V. Demina, Nikolay A. Kudryashov
Publication date: 27 September 2011
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physleta.2008.04.069
Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Other functions coming from differential, difference and integral equations (33E30) Painlevé-type functions (33E17) Real rational functions (26C15)
Related Items (11)
Multi-particle dynamical systems and polynomials ⋮ Generalized Hermite polynomials for the Burgers hierarchy and point vortices ⋮ Lax pairs and special polynomials associated with self-similar reductions of Sawada -- Kotera and Kupershmidt equations ⋮ Soliton, rational and special solutions of the Korteweg-de Vries hierarchy ⋮ Higher Painlevé transcendents as special solutions of some nonlinear integrable hierarchies ⋮ On symmetries of the non-stationary PIIn hierarchy and their applications ⋮ Rational and special solutions for some Painlevé hierarchies ⋮ Point vortices and polynomials of the Sawada-Kotera and Kaup-Kupershmidt equations ⋮ Point vortices and classical orthogonal polynomials ⋮ A note on solutions of the Korteweg-de Vries hierarchy ⋮ Hankel determinant approach to generalized Vorob'ev-Yablonski polynomials and their roots
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