English

Integrable systems in spaces of arbitrary dimension

Mathematical Physics 2007-05-23 v1 math.MP Exactly Solvable and Integrable Systems solv-int

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.math-ph/9908012,
  title  = {Integrable systems in spaces of arbitrary dimension},
  author = {A. N. Leznov},
  journal= {arXiv preprint arXiv:math-ph/9908012},
  year   = {2007}
}

Comments

LaTeX, 9 pages