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Higher-Dimensional Integrable Systems Induced by Motions of Curves in Affine Geometries |
| LI Yan-Yan1,2;QU Chang-Zheng 1,2 |
| 1Center for Nonlinear Studies, Northwest University, Xi'an 7100692Department of Mathematics, Northwest University, Xi'an 710069 |
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LI Yan-Yan, QU Chang-Zheng 2008 Chin. Phys. Lett. 25 1931-1934 |
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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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Received: 12 December 2007
Published: 31 May 2008
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