KdV extensions with Painlevé property
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Publication:4260549
DOI10.1063/1.532298zbMath1001.37056OpenAlexW2130921837MaRDI QIDQ4260549
Publication date: 16 December 2002
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.532298
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) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)
Related Items (7)
Solving (3+1)-dimensional non-linear Schrödinger equation by means of (3+1)-dimensional Painlevé integrable model ⋮ The integrability conditions and solutions of nonautonomous Hirota equation ⋮ The investigation into the Schwarz–Korteweg–de Vries equation and the Schwarz derivative in (2+1) dimensions ⋮ High-dimensional Virasoro integrable models and exact solutions ⋮ Higher dimensional Painlevé integrable models from the Kadomtsev–Petviashvili equation ⋮ Conformal invariant Painlevé expansions and higher-dimensional integrable models ⋮ Searching for Higher Dimensional Integrable Models from Lower Ones via Painlevé Analysis
Cites Work
- Two-dimensional Schrödinger operator: inverse scattering transform and evolutional equations
- Painleve property and pseudopotentials for nonlinear evolution equations
- The Painlevé property for partial differential equations
- Integrable and solvable systems, and relations among them
- Symmetry reduction for the Kadomtsev–Petviashvili equation using a loop algebra
- Deformations of the Riccati equation by using Miura-type transformations
- Abundant symmetries for the 1+1 dimensional classical Liouville field theory
- On the spectral transform of a Korteweg-de Vries equation in two spatial dimensions
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