Integrable systems in spaces of arbitrary dimension
classification
🧮 math-ph
math.MPnlin.SIsolv-int
keywords
arbitraryintegrablesystemsalgebrascommutativeconnectedconstructeddifferentiation
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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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