%0 Journal Article
%T FACTORIZATION OF GELFAND-DICKEY OPERATOR, B?CKLUND-DARBOUX TRANSFORMATION AND SYMMETRY<br>Gelfand-Dickey算子分解,B?cklund-Darboux变换及对称
%A WANG NING
%A <br>王宁
%J 物理学报
%D 1999
%I 
%X Explicit expressions of n B?cklund-Darboux (BD) transformations and corresponding symmetries for generalized KdV (GKdV) equation, were constructed by using factorization of Gelfand-Dickey operator. This extends Lou's recent result about the BD transformations and non-local symmetries for KdV, Kadomtsev-Petviashvilli equations. As a by-product, we also derive a representation of Wronskian determinant for the GKdV solution.
%K GD算子
%K 对称
%K BD变换
%K KdV方程
%K 广义KdV方程
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=52C3612222CD817D2E4C9A2EB7990468&yid=B914830F5B1D1078&vid=B6DA1AC076E37400&iid=5D311CA918CA9A03&sid=C919C6DD1115AFC0&eid=C4160F9DDB7598AD&journal_id=1000-3290&journal_name=物理学报&referenced_num=2&reference_num=2