On special solutions of second and fourth Painlevé hierarchies
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Publication:649691
DOI10.1016/j.physleta.2008.12.028zbMath1227.34093OpenAlexW2065462524MaRDI QIDQ649691
Publication date: 5 December 2011
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physleta.2008.12.028
Painlevé-type functions (33E17) Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical) of ordinary differential equations in the complex domain (34M15)
Related Items (8)
Nonisospectral scattering problems and similarity reductions ⋮ A special solution technique: further extensions ⋮ Higher Painlevé transcendents as special solutions of some nonlinear integrable hierarchies ⋮ A new derivation of Painlevé hierarchies ⋮ On the nesting of Painlevé hierarchies: a Hamiltonian approach ⋮ Generalized scaling reductions and Painlevé hierarchies ⋮ On an extended second Painlevé hierarchy ⋮ On the mKdV-Liouville hierarchy and its self-similarity reduction
Cites Work
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- Higher‐Order Painlevé Equations in the Polynomial Class II: Bureau Symbol P1
- Schlesinger transformations for the second members of PII and PIV hierarchies
- Bäcklund transformations for the second Painlevé hierarchy: a modified truncation approach
- Fourth-order analogies to the Painlevé equations
- Nonisospectral scattering problems: A key to integrable hierarchies
- One generalization of the second Painlevé hierarchy
- On a unified approach to transformations and elementary solutions of Painlevé equations
- Painlevé Test and Higher Order Differential Equations
- Higher‐order Painlevé Equations in the Polynomial Class I. Bureau Symbol P2
- Bäcklund Transformations and Solution Hierarchies for the Fourth Painlevé Equation
- Painlevé test and the first Painlevé hierarchy
- Rational Solutions of Painlevé Equations
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