Bilinear equations for the strict KP hierarchy

Authors
Publication date 2015
Journal Theoretical and Mathematical Physics
Volume | Issue number 185 | 3
Pages (from-to) 1803-1815
Organisations
  • Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
Abstract We describe two modules for the algebra Psd 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 Psd.
Document type Article
Note Prepared from an English manuscript submitted by the authors; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 185, No. 3, pp. 512-526, December, 2015.
Language English
Published at https://doi.org/10.1007/s11232-015-0380-1
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