Volume preserving multidimensional integrable systems and Nambu--Poisson geometry
可精确求解与可积系统
2016-09-21 v1
摘要
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.
引用
@article{arxiv.nlin/0107075,
title = {Volume preserving multidimensional integrable systems and Nambu--Poisson geometry},
author = {Partha Guha},
journal= {arXiv preprint arXiv:nlin/0107075},
year = {2016}
}