- Bilinear equations for the strict KP hierarchy
- Theoretical and Mathematical Physics
- Volume | Issue number
- 185 | 3
- Pages (from-to)
- Document type
- Faculty of Science (FNWI)
- Korteweg-de Vries Institute for Mathematics (KdVI)
- 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.
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- 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.