A special solution technique: further extensions
DOI10.1016/j.amc.2012.05.007zbMath1282.34099OpenAlexW2084963767MaRDI QIDQ387504
Publication date: 23 December 2013
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2012.05.007
exact solutionsrecursion operatorscompletely integrable systemsHamiltonian structuresPainlevé hierarchies
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Painlevé-type functions (33E17)
Related Items (1)
Cites Work
- A new derivation of Painlevé hierarchies
- Exact solutions of a novel integrable partial differential equation
- On special solutions of second and fourth Painlevé hierarchies
- Double Bäcklund transformations and special integrals for the \(K_{II}\) hierarchy
- Self-similar solutions of the Burgers hierarchy
- On the nesting of Painlevé hierarchies: a Hamiltonian approach
- Two hierarchies of ordinary differential equations and their properties
- Non-autonomous Hénon-Heiles systems
- Nonisospectral scattering problems: A key to integrable hierarchies
- Higher‐order Painlevé Equations in the Polynomial Class I. Bureau Symbol P2
- Auto-Bäcklund transformations and integrability of ordinary and partial differential equations
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