Analytic properties of solutions to equations in the generalized hierarchy of the second Painlevé equation
From MaRDI portal
Publication:2195143
DOI10.1134/S0012266120080030zbMath1448.35443OpenAlexW3083404220MaRDI QIDQ2195143
Publication date: 7 September 2020
Published in: Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0012266120080030
KdV equations (Korteweg-de Vries equations) (35Q53) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)
Related Items (4)
On the properties of solutions of the equations in the generalized hierarchy of the equation \(P_{34}\) ⋮ On Bäcklund transformations for some second-order nonlinear differential equations ⋮ Lax pairs for one of hierarchies similar to the first Painlevé hierarchy ⋮ Lax pairs and rational solutions of similarity reductions for Kupershmidt and Sawada-Kotera hierarchies
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. I: General theory and \(\tau \)-function
- Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. II
- Studies on the Painlevé equations. III: Second and fourth Painlevé equations, \(P_{II}\) and \(P_{IV}\)
- The isomonodromic deformation method in the theory of Painlevé equations
- Monodromy- and spectrum-preserving deformations. I
- Affine Weyl groups, discrete dynamical systems and Painlevé equations
- Nonlinear chains and Painlevé equations
- Painlevé differential equations in the complex plane
- Two hierarchies of ordinary differential equations and their properties
- Solutions of the fourth-order equation in the generalized hierarchy of the second Painlevé equation
- On the theory of higher-order Painlevé equations
- Special polynomials and rational solutions of the hierarchy of the second Painlevé equation
- Bäcklund transformations for the second Painlevé hierarchy: a modified truncation approach
- The second Painlev equation, its hierarchy and associated special polynomials
- One generalization of the second Painlevé hierarchy
- Amalgamations of the Painlevé equations
- Linear problems and hierarchies of Painlevé equations
- Integrals of nonlinear equations of evolution and solitary waves
- Rational Solutions of Painlevé Equations
- Special functions of the isomonodromy type
This page was built for publication: Analytic properties of solutions to equations in the generalized hierarchy of the second Painlevé equation