%0 Journal Article
%T A nonlinear wave equation and exact periodic solutions in circular-rod waveguide<br>圆杆波导中的一个非线性波动方程及准确周期解
%A Liu Zhi-Fang
%A Zhang Shan-Yuan
%A <br>刘志芳
%A 张善元
%J 物理学报
%D 2006
%I 
%X Under the condition of small deformation, a new nonlinear wave equation is derived to describe nonlinear wave evolution in a nonlinear elastic circular rod by means of Hamilton principle. The nonlinear constitutive relationship proposed by Cox and transverse Possion effects are simultaneously taken into account. Nonlinear wave equation and truncated nonlinear wave equation are solved by the Jacobi elliptic cosine function expansion method. The exact periodic solutions of these nonlinear equations are obtained. The limiting conditions of these solutions are also given.
%K nonlinear wave
%K Possion effect
%K Jacobi elliptic cosine function<br>非线性波
%K Possion效应
%K Jacobi椭圆余弦函数
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=E79C6354301F0A57&yid=37904DC365DD7266&vid=E514EE58E0E50ECF&iid=0B39A22176CE99FB&sid=3EABEBD973E45554&eid=06F643376BC2509E&journal_id=1000-3290&journal_name=物理学报&referenced_num=3&reference_num=20