Spinor Fields on the Surface of Revolution and their Integrable Deformations via the mKdV-Hierarchy

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dc.creatorVarlamov, Vadim V.
dc.date1999-06-21
dc.date.accessioned2026-07-07T05:29:35Z
dc.date.available2026-07-07T05:29:35Z
dc.descriptionSpinor fields on surfaces of revolution conformally immersed into 3-dimensional space are considered in the framework of the spinor representations of surfaces. It is shown that a linear problem (a 2-dimensional Dirac equation) related with a modified Veselov- Novikov hierarchy in the case of the surface of revolution reduces to a well-known Zakharov-Shabat system. In the case of one-soliton solution an explicit form of the spinor fields is given by means of linear Bargmann potentials and is expressed via the Jost functions of the Zakharov-Shabat system. It is shown also that integrable deformations of the spinor fields on the surface of revolution are defined by a modified Korteweg-de Vries hierarchy.
dc.description15 pages, LaTeX2e
dc.identifierhttps://arxiv.org/abs/math/9906140
dc.identifierhttp://arxiv.org/abs/math/9906140
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78695
dc.subjectDifferential Geometry
dc.titleSpinor Fields on the Surface of Revolution and their Integrable Deformations via the mKdV-Hierarchy
dc.typetext

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