Geodesic
Bilinear equations for the strict KP hierarchy
Teoretičeskaâ i matematičeskaâ fizika, Tome 185 (2015) no. 3, pp. 512-526

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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, strict KP hierarchy, dual wave function, bilinear form.
Mots-clés : compatible Lax equation 
G. F. Helminck; E. A. Panasenko; S. V. Polenkova. Bilinear equations for the strict KP hierarchy. Teoretičeskaâ i matematičeskaâ fizika, Tome 185 (2015) no. 3, pp. 512-526. http://geodesic.mathdoc.fr/item/TMF_2015_185_3_a7/
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