The weak-Painlevé property as a criterion for the integrability of dynamical systems
From MaRDI portal
Publication:3754319
DOI10.1063/1.526611zbMath0613.34036OpenAlexW2035227284MaRDI QIDQ3754319
Antonio F. Rañada, Alfred Ramani, Basile Grammaticos, Bernadette Dorizzi
Publication date: 1985
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.526611
Related Items (13)
Comment on ``Painlevé integrability of two sets of nonlinear evolution equations with nonlinear dispersions ⋮ Polynomial Hamiltonian systems with movable algebraic singularities ⋮ The Painlevé-Kowalevski and Poly-Painlevé Tests for Integrability ⋮ The Gambier mapping ⋮ Symmetries of a class of nonlinear third-order partial differential equations ⋮ Motion of a charge in a magnetic dipole field. I: Painlevé analysis and a conservative numerical scheme ⋮ Investigation of Painlevé property under time singularities transformations ⋮ Kovalevskaya exponents, weak Painlevé property and integrability for quasi-homogeneous differential systems ⋮ Weak-Painlevé property and integrability of general dynamical systems ⋮ The hydrogen atom in the van der Waals potential combined by magnetic and electric fields, Painlevé analysis, and integrability ⋮ Painlevé test for long-wave, short-wave interaction equation. II ⋮ Bäcklund transformation and the Painlevé property ⋮ Symmetries of a Class of Nonlinear Fourth Order Partial Differential Equations
Cites Work
- The Painlevé property for partial differential equations. II: Bäcklund transformation, Lax pairs, and the Schwarzian derivative
- Integrability of Hamiltonians with third- and fourth-degree polynomial potentials
- Integrability and the Painlevé property for low-dimensional systems
- The Painlevé property for partial differential equations
- Explicit integrability for Hamiltonian systems and the Painlevé conjecture
This page was built for publication: The weak-Painlevé property as a criterion for the integrability of dynamical systems
