%0 Journal Article
%T Traveling wave solutions for two nonlinear evolution equations with nonlinear terms of any order<br>
%A Feng Qing-Hu
%A Meng Fan-Wei
%A Zhang Yao-Ming
%A <br>
%J 物理学报
%D 2011
%I 
%X In this paper, based on the known first integral method and the Riccati sub-ordinary differential equation (ODE) method, we try to seek the exact solutions of the general Gardner equation and the general Benjamin-Bona-Mahoney equation. As a result, some traveling wave solutions for the two nonlinear equations are established successfully. Also we make a comparison between the two methods. It turns out that the Riccati sub-ODE method is more effective than the first integral method in handling the proposed problems, and more general solutions are constructed by the Riccati sub-ODE method.
%K first integral method
%K Riccati equation
%K nonlinear equation
%K traveling wave solution<br>
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=E34DBD8167BEA3BC72D102A801504B9E&yid=9377ED8094509821&vid=BFE7933E5EEA150D&iid=59906B3B2830C2C5&sid=44E2953C09BCFE96&journal_id=1000-3290&journal_name=物理学报&referenced_num=0&reference_num=29