%0 Journal Article
%T A new method to construct solutions to nonlinear wave equations<br>非线性波方程求解的新方法
%A Fu Zun-Tao
%A Liu Shi-Kuo
%A Liu Shi-Da
%A <br>付遵涛
%A 刘式适
%A 刘式达
%J 物理学报
%D 2004
%I 
%X From the definition of Legendre elliptic integration and Jacobi elliptic function, new transformations are obtained and applied to construct the exact solutions of nonlinear wave equations. The nonlinear Klein-Gordon equation, Boussinesq equation and the coupled mKdV equations are taken as three examples to illustrate the detailed steps in obtaining exact solutions. There new analytical solutions such as periodic solutions and soliton solutions are derived for these nonlinear evolution equation (or equations).
%K Jacobi elliptic function
%K nonlinear wave equation
%K periodic solution
%K soliton solution<br>Jacobi椭圆函数，
%K 非线性方程，
%K 周期解，
%K 孤子解
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=9965AF964DA812B0&yid=D0E58B75BFD8E51C&vid=8E6AB9C3EBAAE921&iid=0B39A22176CE99FB&sid=5957D6E0A50D26B5&eid=375BEEEA164CFE59&journal_id=1000-3290&journal_name=物理学报&referenced_num=29&reference_num=32