Volume preserving multidimensional integrable systems and nambu–poisson geometry

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In this paper we study generalized classes of volume preserving multidimensional integrable systems via Nambu–Poisson mechanics. These integrable systems belong to the same class of dispersionless KP type equation. Hence they bear a close resemblance to the self dual Einstein equation. All these dispersionless KP and dToda type equations can be studied via twistor geometry, by using the method of Gindikin’s pencil of two forms. Following this approach we study the twistor construction of our volume preserving systems.

Original languageBritish English
Pages (from-to)325-341
Number of pages17
JournalJournal of Nonlinear Mathematical Physics
Issue number3
StatePublished - 2001


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