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• W1579611354 abstract "It is by now well known that the wave functions of rational solutions to the KP hierarchy (those which can be achieved as limits of the pure n-soliton solutions) satisfy an additional eigenvalue equation for ordinary differential operators in the spectral parameter. This property is known as ``bispectrality'' and has proved to be both interesting and useful. In this note, it is shown that certain (non-rational) soliton solutions of the KP hierarchy satisfy an eigenvalue equation for a non-local operator constructed by composing ordinary differential operators in the spectral parameter with translation operators in the spectral parameter, and therefore have a form of bispectrality as well. Considering the results relating ordinary bispectrality to the self-duality of the rational Calogero-Moser particle system, it seems likely that this new form of bispectrality should be related to the duality of the Ruijsenaars system." @default.
• W1579611354 created "2016-06-24" @default.
• W1579611354 creator A5016557444 @default.
• W1579611354 date "1998-06-04" @default.
• W1579611354 modified "2023-09-27" @default.
• W1579611354 title "Bispectrality of KP Solitons" @default.
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