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September 2007 Deformation of Surfaces Induced by Motions of Curves in Higherdimensional Similarity Geometries
Changzheng Qu, Yanyan Li
Methods Appl. Anal. 14(3): 273-286 (September 2007).

Abstract

In this paper, we study deformation of surfaces induced by adding one and two extra space variables to the motions of space curves in higher-dimensional similarity geometries. It is shown that the 2+1- and 3+1-dimensional nonlinear evolution equations including the 2+1-dimensional mKdV equation and a generalization to the mKdV-Burgers system arise from such motions.

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Changzheng Qu. Yanyan Li. "Deformation of Surfaces Induced by Motions of Curves in Higherdimensional Similarity Geometries." Methods Appl. Anal. 14 (3) 273 - 286, September 2007.

Information

Published: September 2007
First available in Project Euclid: 24 October 2008

zbMATH: 1160.37406
MathSciNet: MR2459829

Subjects:
Primary: 37K25, 53A55, 53C44

Rights: Copyright © 2007 International Press of Boston

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Vol.14 • No. 3 • September 2007
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