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Teoreticheskaya i Matematicheskaya Fizika, 2015, Volume 185, Number 3, Pages 512–526
DOI: https://doi.org/10.4213/tmf8893 (Mi tmf8893) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Bilinear equations for the strict KP hierarchy

G. F. Helmincka, E. A. Panasenkob, S. V. Polenkovac

a Korteweg—de Vries Institute for Mathematics, University of Amsterdam, Amsterdam, The Netherlands
b Derzhavin State University, Tambov, Russia
c University of Twente, Enschede, The Netherlands
Full-text PDF (436 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf8893
Abstract: We describe two modules for the algebra $P\!sd$ of pseudodifferential operators; for each of them, we define an associated system from which the Lax equations of the strict KP hierarchy can be obtained as compatibility conditions. We construct a set of bilinear equations on these modules that characterizes solutions of the strict KP hierarchy that are obtained by dressing the basic generator of $P\!sd$.
Keywords: integrable deformation, pseudodifferential operator, compatible Lax equation, strict KP hierarchy, dual wave function, bilinear form.
English version:
Theoretical and Mathematical Physics, 2015, Volume 185, Issue 3, Pages 1803–1815
DOI: https://doi.org/10.1007/s11232-015-0380-1
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: G. F. Helminck, E. A. Panasenko, S. V. Polenkova, “Bilinear equations for the strict KP hierarchy”, TMF, 185:3 (2015), 512–526; Theoret. and Math. Phys., 185:3 (2015), 1803–1815
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf/v185/i3/p512
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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