Generalized scaling reductions and Painlevé hierarchies
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Publication:2451447
DOI10.1016/j.amc.2013.02.043zbMath1293.35278OpenAlexW2142820889MaRDI QIDQ2451447
Uğurhan Muğan, Pilar Ruiz Gordoa, Andrew Pickering
Publication date: 3 June 2014
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2013.02.043
Korteweg-de Vries hierarchydispersive water wave hierarchyPainlevé hierarchiesBurgers hierarchyscaling reductions
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53)
Related Items
Nonisospectral scattering problems and similarity reductions ⋮ The Prelle-Singer method and Painlevé hierarchies ⋮ On an extended second Painlevé hierarchy
Cites Work
- A new derivation of Painlevé hierarchies
- On special solutions of second and fourth Painlevé hierarchies
- Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. II
- Self-similar solutions of the Burgers hierarchy
- A new method for the investigation of arithmetical properties of analytic functions
- On a generalized \(2+1\) dispersive water wave hierarchy
- On the nesting of Painlevé hierarchies: a Hamiltonian approach
- Non-autonomous Hénon-Heiles systems
- Mathematics of dispersive water waves
- Bäcklund transformations for fourth Painlevé hierarchies
- Second and fourth Painlevé hierarchies and Jimbo-Miwa linear problems
- Schlesinger transformations for the second members of PII and PIV hierarchies
- The Cauchy problem for the second member of a \rm P_{IV} hierarchy
- Evolution equations possessing infinitely many symmetries
- Bäcklund transformations for the second Painlevé hierarchy: a modified truncation approach
- The Weiss–Tabor–Carnevale Painlevé test and Burgers’ hierarchy
- One generalization of the second Painlevé hierarchy
- Amalgamations of the Painlevé equations
- The partial differential equation ut + uux = μxx
- On a quasi-linear parabolic equation occurring in aerodynamics
