Higher-Dimensional Integrable Systems Induced by Motions of Curves in Affine Geometries |
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| Authors: | LI Yan-Yan QU Chang-Zheng |
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| Institution: | Center for Nonlinear Studies, Northwest University, Xi'an 710069Department of Mathematics, Northwest University, Xi'an 710069 |
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| Abstract: | We discuss the motions of curves by introducing an extra spatial variable or equivalently, moving surfaces in affine geometries. It is shown that the 2+1-dimensional breaking soliton equation and a 2+1-dimensional nonlinear evolution equation regarded as a generalization to the 1+1-dimensional KdV equation arise from such motions. |
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| Keywords: | 02 30 Ik 02 40 Hw 05 45 Yv |
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