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Teoreticheskaya i Matematicheskaya Fizika, 1995, Volume 105, Number 2, Pages 225–245 (Mi tmf1371)  
This article is cited in 11 scientific papers (total in 12 papers)

Factorization and Poisson correspondences

A. P. Fordya, A. B. Shabatb, A. P. Veselovc

a University of Leeds
b L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences
c M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (1723 kB) Citations (12)
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Abstract: The Darboux transformation as an example of an integrable infinite-dimensional Poisson correspondence is discussed in the context of the general factorization problem. Generalizations related to energy dependent Schrödinger operators and to Kac–Moody algebras are considered. We also present the finite dimensional reductions of the Darboux transformation to stationary flows.
Received: 29.11.1994
English version:
Theoretical and Mathematical Physics, 1995, Volume 105, Issue 2, Pages 1369–1386
DOI: https://doi.org/10.1007/BF02070933
Bibliographic databases:
Language: Russian
Citation: A. P. Fordy, A. B. Shabat, A. P. Veselov, “Factorization and Poisson correspondences”, TMF, 105:2 (1995), 225–245; Theoret. and Math. Phys., 105:2 (1995), 1369–1386
Citation in format AMSBIB
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\paper Factorization and Poisson correspondences
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\transl
\jour Theoret. and Math. Phys.
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\pages 1369--1386
\crossref{https://doi.org/10.1007/BF02070933}
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:92
    First page:3
     
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