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Multi-Hamiltonian structure of Plebanski's second heavenly equation | | F. Neyzi
; Y. Nutku
; M. B. Sheftel
; | | Date: |
12 May 2005 | | Journal: | J.Phys. A38 (2005) 8473 | | Subject: | Exactly Solvable and Integrable Systems; Differential Geometry; Mathematical Physics | nlin.SI gr-qc hep-th math-ph math.DG math.MP | | 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. | | Source: | arXiv, nlin.SI/0505030 | | Services: | Forum | Review | PDF | Favorites | |
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