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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
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.
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
Linking options:
https://www.mathnet.ru/eng/tmf8893https://doi.org/10.4213/tmf8893 https://www.mathnet.ru/eng/tmf/v185/i3/p512
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Abstract page: | 400 | Full-text PDF : | 145 | References: | 56 | First page: | 34 |
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