KdV Surfaces

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dc.creatorGurses, Metin
dc.creatorTek, Suleyman
dc.date2005-11-23
dc.date.accessioned2026-07-07T06:52:01Z
dc.date.available2026-07-07T06:52:01Z
dc.descriptionWe consider 2-surfaces arising from the Korteweg de Vries (KdV) equation. The surfaces corresponding to KdV are in a three dimensional Minkowski space. They contain a family of quadratic Weingarten and Willmore-like surfaces. We show that a subset of KdV surfaces can be obtained from a variational principle where the Lagrange function is a polynomial function of the Gaussian and mean curvatures. We finally give a method for constructing the surfaces explicitly, i.e., finding their parametrizations or finding their position vectors.
dc.description20 pages, Latex file
dc.identifierhttps://arxiv.org/abs/nlin/0511049
dc.identifierhttp://arxiv.org/abs/nlin/0511049
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/105178
dc.subjectExactly Solvable and Integrable Systems
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectDifferential Geometry
dc.titleKdV Surfaces
dc.typetext

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