Amalgamations of the Painlevé equations
From MaRDI portal
Publication:4833232
DOI10.1063/1.1623332zbMath1063.34085OpenAlexW1985719233MaRDI QIDQ4833232
Publication date: 14 December 2004
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.1623332
Related Items
Nonisospectral scattering problems and similarity reductions ⋮ On matrix Painlevé hierarchies ⋮ Solution classes of the matrix second Painlevé hierarchy ⋮ Design of evolutionary cubic spline intelligent solver for nonlinear Painlevé-I transcendent ⋮ 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 ⋮ Paul Painlevé and his contribution to science ⋮ Higher Painlevé transcendents as special solutions of some nonlinear integrable hierarchies ⋮ Analytic properties of solutions to equations in the generalized hierarchy of the second Painlevé equation ⋮ Rational solutions of equations associated with the second Painlevé equation ⋮ Bäcklund transformations for a new extended Painlevé hierarchy ⋮ Traveling wave reduction of the modified KdV hierarchy: the Lax pair and the first integrals ⋮ Nonlinear differential equations of the second, third and fourth order with exact solutions ⋮ Generalized scaling reductions and Painlevé hierarchies ⋮ Nonlinear differential equations associated with the first Painlevé hierarchy ⋮ Power expansions for solution of the fourth-order analog to the first Painlevé equation ⋮ Unnamed Item ⋮ 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 ⋮ Fuchs indices and the first integrals of nonlinear differential equations ⋮ Lax pair and first integrals of the traveling wave reduction for the KdV hierarchy ⋮ On an extended second Painlevé hierarchy ⋮ Lax pairs for one of hierarchies similar to the first Painlevé hierarchy ⋮ Relations between zeros of special polynomials associated with the Painlevé equations ⋮ The generalized Yablonskii-Vorob'ev polynomials and their properties ⋮ Bäcklund transformations for new fourth Painlevé hierarchies ⋮ Lax pairs and rational solutions of similarity reductions for Kupershmidt and Sawada-Kotera hierarchies ⋮ On Integrability of the FitzHugh – Rinzel Model ⋮ Solutions of the fourth-order equation in the generalized hierarchy of the second Painlevé equation
Cites Work
