UV Manifold and Integrable Systems in Spaces of Arbitrary Dimension
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The 2n dimensional manifold with two mutually commutative operators of differetiation 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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TY - JOUR AU - A.N. Leznov PY - 2001 DA - 2001/02/01 TI - UV Manifold and Integrable Systems in Spaces of Arbitrary Dimension JO - Journal of Nonlinear Mathematical Physics SP - 1 EP - 7 VL - 8 IS - 1 SN - 1776-0852 UR - https://doi.org/10.2991/jnmp.2001.8.1.1 DO - 10.2991/jnmp.2001.8.1.1 ID - Leznov2001 ER -