%0 Journal Article
%T (G''/G)-expansion method and novel fractal structures for high-dimensional nonlinear physical equation<br>(G''/G)展开法与高维非线性物理方程的新分形结构
%A Li Bang-Qing
%A Ma Yu-Lan
%A Xu Mei-Ping
%A <br>李帮庆
%A 马玉兰
%A 徐美萍
%J 物理学报
%D 2010
%I 
%X The (G'/G)-expansion method is extended to construct non-traveling wave solutions and explore the fractal structure for high dimensional nonlinear physical equation. As an example, a series of non-traveling solutions is obtained for the (2 +1)-dimensional dispersive long wave system with variable coefficient. Furthermore, by setting properly the arbitrary functions in the solutions, a class of novel fractal structures, namely, the cross-like fractal structures are firstly observed.
%K (G'/G)-expansion method
%K (2+1)-dimensional dispersive long wave system with variable coefficient
%K nontraveling solution
%K cross-like fractal structure<br>（G′/G）展开法
%K （2+1）维变系数色散长波系统
%K 非行波解
%K 十字形分形结构
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=D2CAE351BB2BABEB22EACC4F194FA16F&yid=140ECF96957D60B2&vid=6AC2A205FBB0EF23&iid=38B194292C032A66&sid=113224FCB0E3054C&eid=BE34987501BA69F7&journal_id=1000-3290&journal_name=物理学报&referenced_num=0&reference_num=48