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Darboux Coverings and Rational Reductions of the KP Hierarchy (1997)

Casati, Paolo ; Falqui, Gregorio ; Magri, Franco ; [et al.]

Springer

Letters in mathematical physics 41 (1997), S. 291-305

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ISSN: 1573-0530

Keywords: KP hierarchy ; Darboux transformation ; rational hierarchies.

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics , Physics

Notes: Abstract We use the method of Darboux coverings to discuss the invariant submanifolds of the KP equations presented as conservation laws in the space of monic Laurent series in the spectral parameter (the space of the Hamiltonian densities). We identify a special class of these submanifolds with the rational invariant submanifolds entering matrix models of two-dimensional gravity recently characterized by Dickey and Krichever. Four examples of the general procedure are provided.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1023/A:1007315810243

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