Article ID Journal Published Year Pages File Type
6419502 Journal of Mathematical Analysis and Applications 2011 5 Pages PDF
Abstract

In this paper, based upon a jet bundle formalism, we investigate the connection and the curvature associated to the stretched rope equation. Following the prolongation structure analysis due to Wahlquist and Estabrook combined to Cartan-Ehresmann connection with structure group SL(3,R), we derive an interesting coupled system dubbed as the two-component stretched rope equation which physically and geometrically arises from the curve motion flow in Euclidean space.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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