Abstract
A hierarchy of nonlinear dynamical systems is studied applying the Painlevé test. An interesting connection between a reduced self-dual Yang-Mills equation and a reduced Yang-Mills equation is given.
Similar content being viewed by others
References
K. Kowalski and W.-H. Steeb,Nonlinear Dynamical Systems and Carleman Linearization (World Scientific, Singapore, 1991).
W.-H. Steeb and N. Euler,Nonlinear Evolution Equations and Painlevé Test (World Scientific, Singapore, 1988).
M. Adler and P. van Moerbeke,Invent. Math. 97, 162 (1989).
W.-H. Steeb,Problems in Mathematical Physics, Volume II: Advanced Problems (Bibliographisches Institut, Mannheim, 1990).
W.-H. Steeb, J. A. Louw, and C. M. Villet,Phys. Rev. D 33, 1174 (1986).
W.-H. Steeb,A Handbook of Terms used in Chaos and Quantum Chaos (Bibliographisches Institut, Mannheim, 1991).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Steeb, W.H., Euler, N. & Mulser, P. On a hierarchy of nonlinear dynamical systems and Painlevé test. Found Phys Lett 4, 465–469 (1991). https://doi.org/10.1007/BF00691192
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00691192