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Teoreticheskaya i Matematicheskaya Fizika, 2002, Volume 133, Number 2, Pages 211–217
DOI: https://doi.org/10.4213/tmf391
(Mi tmf391)
 

This article is cited in 13 scientific papers (total in 13 papers)

Integrable Systems and Rank-One Conditions for Rectangular Matrices

M. M. Gekhtmana, A. Kasmanb

a University of Notre Dame
b College of Charleston
References:
Abstract: We give a determinantal formula for tau functions of the KP hierarchy in terms of rectangular constant matrices $A$, $B$, and $C$ satisfying a rank-one condition. This result is shown to generalize and unify many previous results of different authors on constructions of tau functions for differential and difference integrable systems from square matrices satisfying rank-one conditions. In particular, its explicit special cases include Wilson's formula for tau functions of the rational KP solutions in terms of Calogero–Moser Lax matrices and our previous formula for the KP tau functions in terms of almost-intertwining matrices.
Keywords: KP hierarchies, solitions, Calogero–Moser matrices, rank-one conditions.
English version:
Theoretical and Mathematical Physics, 2002, Volume 133, Issue 2, Pages 1498–1503
DOI: https://doi.org/10.1023/A:1021142626169
Bibliographic databases:
Language: Russian
Citation: M. M. Gekhtman, A. Kasman, “Integrable Systems and Rank-One Conditions for Rectangular Matrices”, TMF, 133:2 (2002), 211–217; Theoret. and Math. Phys., 133:2 (2002), 1498–1503
Citation in format AMSBIB
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\paper Integrable Systems and Rank-One Conditions for Rectangular Matrices
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\pages 211--217
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\transl
\jour Theoret. and Math. Phys.
\yr 2002
\vol 133
\issue 2
\pages 1498--1503
\crossref{https://doi.org/10.1023/A:1021142626169}
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Linking options:
  • https://www.mathnet.ru/eng/tmf391
  • https://doi.org/10.4213/tmf391
  • https://www.mathnet.ru/eng/tmf/v133/i2/p211
  • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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