Three-component WKI equation and curve motion flow in Euclidean and Minkowski space

Dongbo Zhang and Yuqing Hou

Chaos, Solitons & Fractals, 2007, vol. 31, issue 1, 17-29

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.

Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:31:y:2007:i:1:p:17-29

DOI: 10.1016/j.chaos.2005.09.028

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