Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
2005-05-12
J.Phys. A38 (2005) 8473
Nonlinear Sciences
Exactly Solvable and Integrable Systems
Scientific paper
10.1088/0305-4470/38/39/012
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.
Neyzi F.
Nutku Yavuz
Sheftel Mikhail B.
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