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The geometry of spinors and the multicomponent BKP and DKP hierarchies

Victor Kac·Johan van de Leur
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Abstract

We develop a formalism of multicomponent BKP hierarchies using elementary geometry of spinors. The multicomponent KP and the modified KP hierarchy (hence all their reductions like KdV, NLS, AKNS or DS) are reductions of the multicomponent BKP.

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solv-inthep-thmath.QAnlin.SIq-alg

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Victor Kac, Johan van de Leur. 1997-06-06. The geometry of spinors and the multicomponent BKP and DKP hierarchies. https://arxiv.org/abs/solv-int/9706006

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