A new derivation of Painlevé hierarchies
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Publication:426449
DOI10.1016/j.amc.2011.08.084zbMath1243.35144OpenAlexW2159588728MaRDI QIDQ426449
Andrew Pickering, Pilar Ruiz Gordoa
Publication date: 11 June 2012
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2011.08.084
KdV equations (Korteweg-de Vries equations) (35Q53) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55)
Related Items (6)
Nonisospectral scattering problems and similarity reductions ⋮ A special solution technique: further extensions ⋮ Higher Painlevé transcendents as special solutions of some nonlinear integrable hierarchies ⋮ Generalized scaling reductions and Painlevé hierarchies ⋮ The Prelle-Singer method and Painlevé hierarchies ⋮ On an extended second Painlevé hierarchy
Cites Work
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- On special solutions of second and fourth Painlevé hierarchies
- A new method for the investigation of arithmetical properties of analytic functions
- On a generalized \(2+1\) dispersive water wave hierarchy
- Coalescence limits for higher order Painlevé equations
- Integrable hierarchies: Painlevé indices and compatibility conditions
- The first and second Painlevé equations of higher order and some relations between them
- Differential equations with fixed critical points. II
- Mathematics of dispersive water waves
- Second and fourth Painlevé hierarchies and Jimbo-Miwa linear problems
- Higher‐Order Painlevé Equations in the Polynomial Class II: Bureau Symbol P1
- A connection between nonlinear evolution equations and ordinary differential equations of P-type. I
- Evolution equations possessing infinitely many symmetries
- The Weiss–Tabor–Carnevale Painlevé test and Burgers’ hierarchy
- On a new non-isospectral variant of the Boussinesq hierarchy
- Nonisospectral scattering problems: A key to integrable hierarchies
- Painlevé Test and Higher Order Differential Equations
- Higher‐order Painlevé Equations in the Polynomial Class I. Bureau Symbol P2
- Painlevé test and the first Painlevé hierarchy
- The partial differential equation ut + uux = μxx
- On a quasi-linear parabolic equation occurring in aerodynamics
- Necessary condition for the existence of algebraic first integrals
- Rational Solutions of Painlevé Equations
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