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Teoreticheskaya i Matematicheskaya Fizika, 2000, Volume 122, Number 1, Pages 23–36
DOI: https://doi.org/10.4213/tmf552 (Mi tmf552) 		 
This article is cited in 8 scientific papers (total in 8 papers)

An elementary approach to the polynomial $\tau$-functions of the KP hierarchy

G. Falquia, F. Magrib, M. Pedronic, J. P. Zubellid

a International School for Advanced Studies (SISSA)
b Universita di Milano-Bicocca
c University of Genova, Department of Mathematics
d Instituto Nacional de Matemática Pura e Aplicada
Full-text PDF (272 kB) Citations (8)
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DOI: https://doi.org/10.4213/tmf552
Abstract: We give an elementary construction of the solutions of the KP hierarchy associated with polynomial $\tau$-functions starting with a geometric approach to soliton equations based on the concept of a bi-Hamiltonian system. As a consequence, we establish a Wronskian formula for the polynomial $\tau$-functions of the KP hierarchy. This formula, known in the literature, is obtained very directly.
English version:
Theoretical and Mathematical Physics, 2000, Volume 122, Issue 1, Pages 17–28
DOI: https://doi.org/10.1007/BF02551166
Bibliographic databases:
Language: Russian
Citation: G. Falqui, F. Magri, M. Pedroni, J. P. Zubelli, “An elementary approach to the polynomial $\tau$-functions of the KP hierarchy”, TMF, 122:1 (2000), 23–36; Theoret. and Math. Phys., 122:1 (2000), 17–28
Citation in format AMSBIB
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\by G.~Falqui, F.~Magri, M.~Pedroni, J.~P.~Zubelli
\paper An elementary approach to the polynomial $\tau$-functions of the KP hierarchy
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\issue 1
\pages 23--36
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\transl
\jour Theoret. and Math. Phys.
\yr 2000
\vol 122
\issue 1
\pages 17--28
\crossref{https://doi.org/10.1007/BF02551166}
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
     
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