%0 Journal Article
%T Binary Bell polynomial application in generalized (2+1)-dimensional KdV equation with variable coefficients
%A Zhang Yi
%A Wei Wei-Wei
%A Cheng Teng-Fei
%A Song Yang
%A
%J 中国物理 B
%D 2011
%I
%X In this paper, we apply the binary Bell polynomial approach to high-dimensional variable-coefficient nonlinear evolution equations. Taking the generalized (2+1)-dimensional KdV equation with variable coefficients as an illustrative example, the bilinear formulism, the bilinear B cklund transformation and the Lax pair are obtained in a quick and natural manner. Moreover, the infinite conservation laws are also derived.
%K binary Bell polynomial
%K bilinear B
%K cklund transformation
%K Lax pair
%K conservation law
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=CD8D6A6897B9334F09D8D1648C376FB4&aid=3D120F67FFBE1E3794D0E645E6585EB6&yid=9377ED8094509821&vid=A04140E723CB732E&iid=708DD6B15D2464E8&sid=6F24B9B6057F9F14&journal_id=1009-1963&journal_name=中国物理&referenced_num=0&reference_num=33