%0 Journal Article
%T The interaction of nonlinear waves in two-dimensional lattice<br>
%A Yang Xiao-Xi
%A Duan Wen-Shan
%A Li Sheng-Chang
%A Han Jiu-Ning
%A <br>
%J 中国物理 B
%D 2008
%I 
%X This paper investigates the collision between two nonlinear waves with arbitrary angle in two-dimensional nonlinear lattice. By using the extended Poincar\'{e}--Lighthill--Kuo perturbation method, it obtains two Korteweg--de Vries equations for nonlinear waves in both the $\xi$ and $\eta$ directions, respectively, and derives the analytical phase shifts after the collision of two nonlinear waves. Finally, the solution of $u(v)$ up to $O(\epsilon^{3})$ order is given.
%K nonlinear waves
%K two-dimensional nonlinear lattice
%K phase shift<br>
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=CD8D6A6897B9334F09D8D1648C376FB4&aid=5DB37692E97C6876F68E82F08E00DA1B&yid=67289AFF6305E306&vid=BCA2697F357F2001&iid=5D311CA918CA9A03&sid=2E4798C3FF42CDE2&eid=D413BE4FEC26716F&journal_id=1009-1963&journal_name=中国物理&referenced_num=0&reference_num=0