Integrable systems in spaces of arbitrary dimension

Details Integrable systems in spaces of arbitrary dimension Integrable systems in spaces of arbitrary dimension

1999-08-10

arxiv.org/abs/math-ph/9908012v1

Physics

Mathematical Physics

LaTeX, 9 pages

Scientific paper

The $2n$ 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.

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