Article ID Journal Published Year Pages File Type
1890971 Chaos, Solitons & Fractals 2007 13 Pages PDF
Abstract
Motion of curves in the four-dimensional Euclidean and Minkowski space are discussed. It is shown that the three-component WKI equation and its hyperbolic type arise from certain curve motion flows. They are obtained by using the relation between curvatures of the curves and their graph. Group-invariant solutions to the three-component WKI equation and its hyperbolic type are also derived.
Related Topics
Physical Sciences and Engineering Physics and Astronomy Statistical and Nonlinear Physics
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Three-component WKI equation and curve motion flow in Euclidean and Minkowski space
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