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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive
TMF, 2002 Volume 133, Number 3, Pages 405–418 (Mi tmf407)
This article is cited in 36 papers

Generalizing the KP Hierarchies: Pfaffian Hierarchies

C. R. Gilson

University of Glasgow

Abstract: We derive the Pfaffian analogues of the equations in the single-component KP hierarchies and the modified KP hierarchies and present an example of a system derived by reduction of some of the equations in these Pfaffianized hierarchies.

Keywords: solitons, integrable systems, Pfaffians, bilinear identity.

DOI: 10.4213/tmf407


 English version: Theoretical and Mathematical Physics, 2002, 133:3, 1663–1674

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