%0 Journal Article
%T Higher-Dimensional Integrable Systems Induced by Motions of Curves in Affine Geometries<br>
%A LI Yan-Yan
%A QU Chang-Zheng
%A <br>
%J 中国物理快报
%D 2008
%I 
%X 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.
%K 02
%K 30
%K Ik
%K 02
%K 40
%K Hw
%K 05
%K 45
%K Yv<br>
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=E27DA92E19FE279A273627875A70D74D&aid=8D82842EEA132338D91BAA99927DD691&yid=67289AFF6305E306&vid=C5154311167311FE&iid=B31275AF3241DB2D&sid=DC32B49180E00F1D&eid=C8B07D2649102CD1&journal_id=0256-307X&journal_name=中国物理快报&referenced_num=1&reference_num=0