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Fundamentalnaya i Prikladnaya Matematika, 2006, Volume 12, Issue 7, Pages 23–33
(Mi fpm1003)
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This article is cited in 4 scientific papers (total in 4 papers)
A conjecture concerning nonlocal terms of recursion operators
H. Baran, M. Marvan Silesian University in Opava
Abstract:
We provide examples to extend a recent conjecture concerning 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.
Citation:
H. Baran, M. Marvan, “A conjecture concerning nonlocal terms of recursion operators”, Fundam. Prikl. Mat., 12:7 (2006), 23–33; J. Math. Sci., 151:4 (2008), 3083–3090
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https://www.mathnet.ru/eng/fpm1003 https://www.mathnet.ru/eng/fpm/v12/i7/p23
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Abstract page: | 301 | Full-text PDF : | 108 | References: | 64 | First page: | 1 |
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