Multi-Hamiltonian structure of Plebanski's second heavenly equation
classification
🌊 nlin.SI
gr-qchep-thmath-phmath.DGmath.MP
keywords
systemcompletelyequationheavenlyintegrablemulti-hamiltonianplebanskisecond
read the original abstract
We show that Plebanski's second heavenly equation, when written as a first-order nonlinear evolutionary system, admits multi-Hamiltonian structure. Therefore by Magri's theorem it is a completely integrable system. Thus it is an example of a completely integrable system in four dimensions.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.