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23 April 2024
 
  » arxiv » math-ph/9908012

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Integrable systems in spaces of arbitrary dimension
A. N. Leznov ;
Date 10 Aug 1999
Subject Mathematical Physics; Exactly Solvable and Integrable Systems | math-ph math.MP nlin.SI solv-int
AbstractThe $2n$ 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.
Source arXiv, math-ph/9908012
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