A conjecture concerning nonlocal terms of recursion operators |
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Authors: | H Baran M Marvan |
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Institution: | (1) Mathematical Institute, Silesian University in Opava, Opava, Czech Republic |
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Abstract: | We provide examples to extend a recent conjecture concerning the relation between zero curvature representations and nonlocal
terms of inverse recursion operators to all recursion operators in dimension two. Namely, we conjecture that nonlocal terms
of recursion operators are always related to a suitable zero-curvature representation, not necessarily depending on a parameter
or taking values in a semisimple algebra. In particular, the conventional pseudodifferential recursion operators correspond
to abelian Lie algebras.
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Translated from Fundamentalnaya i Prikladnaya Matematika (Fundamental and Applied Mathematics), Vol. 12, No. 7, pp. 23–33,
2006. |
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