English

UV manifold and integrable systems in spaces of arbitrary dimension

Exactly Solvable and Integrable Systems 2015-06-26 v1

Abstract

The 2n2n dimensional manifold with two mutually commutative operators of differentiation is introduced. Nontrivial multidimensional integrable systems connected with arbitrary graded (semisimple) algebras are constructed. The general solution of them is presented in explicit form.

Keywords

Cite

@article{arxiv.nlin/0101059,
  title  = {UV manifold and integrable systems in spaces of arbitrary dimension},
  author = {Andrey N. Leznov},
  journal= {arXiv preprint arXiv:nlin/0101059},
  year   = {2015}
}