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, compatible Lax equation, strict KP hierarchy, dual wave function, bilinear form. 
@article{TMF_2015_185_3_a7,
     author = {G. F. Helminck and E. A. Panasenko and S. V. Polenkova},
     title = {Bilinear equations for the~strict {KP} hierarchy},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {512--526},
     publisher = {mathdoc},
     volume = {185},
     number = {3},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2015_185_3_a7/}
}
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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/