Hierarchy of Higher Dimensional Integrable System

dc.creatorSong-Ju, Yu
dc.creatorToda, Kouichi
dc.creatorFukuyama, Takeshi
dc.date1998-02-03
dc.date.accessioned2026-07-07T06:17:32Z
dc.date.available2026-07-07T06:17:32Z
dc.descriptionIntegrable equations in ($1 + 1$) dimensions have their own higher order integrable equations, like the KdV, mKdV and NLS hierarchies etc. In this paper we consider whether integrable equations in ($2 + 1$) dimensions have also the analogous hierarchies to those in ($1 + 1$) dimensions. Explicitly is discussed the Bogoyavlenskii-Schiff(BS) equation. For the BS hierarchy, there appears an ambiguity in the Painlevé test. Nevertheless, it may be concluded that the BS hierarchy is integrable.
dc.description10 pages, uses ioplppt.sty
dc.identifierhttps://arxiv.org/abs/solv-int/9802005
dc.identifierhttp://arxiv.org/abs/solv-int/9802005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/94416
dc.subjectExactly Solvable and Integrable Systems
dc.titleHierarchy of Higher Dimensional Integrable System
dc.typetext

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