$w$-function of the KdV hierarchy

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dc.creatorBuchstaber, V. M.
dc.creatorShorina, S. Yu.
dc.date2004-06-23
dc.date.accessioned2026-07-07T05:09:29Z
dc.date.available2026-07-07T05:09:29Z
dc.descriptionIn this paper we construct a family of commuting multidimensional differential operators of order 3, which is closely related to the KdV hierarchy. We find a common eigenfunction of this family and an algebraic relation between these operators. Using these operators we associate a hyperelliptic curve to any solution of the stationary KdV equation. A basic generating function of the solutions of stationary KdV equation is introduced as a special polarization of the equation of the hyperelliptic curve. We also define and discuss the notion of a $w$-function of a solution of the stationary $g$-KdV equation.
dc.identifierhttps://arxiv.org/abs/math/0406457
dc.identifierhttp://arxiv.org/abs/math/0406457
dc.identifierGeometry, Topology, and Mathematical Physics, Series: American Mathematical Society Translations--Series 2, Volume: 212, 2004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71646
dc.subjectDynamical Systems
dc.title$w$-function of the KdV hierarchy
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