%0 Journal Article
%T Travelling Wave Solutions in a Class of Nonlinear Fourth Order Variant of a Generalized Camassa-Holm Equation<br>一类广义四阶非线性Camassa-Holm方程的行波解
%A TANG Yaning
%A XU Wei
%A <br>唐亚宁
%A 徐伟
%J 系统科学与数学
%D 2008
%I 
%X By using the bifurcation theory of dynamical systems, it is shown that there exist smooth solitary wave solutions, periodic wave solutions and non-smooth solutions such as compactons for a class of generalized nonlinear fourth order Camassa-Holm equation. Under different parametric conditions, various sufficient conditions to guarantee the existence of the above solutions are given, and some exact solutions under some special conditions are obtained.
%K Camassa-Holm equation
%K solitary wave solutions
%K periodic wave solutions
%K non-smooth wave
%K bifurcation theory<br>广义的四阶非线性Camasse-Holm方程
%K 孤立波解
%K 周期波解
%K 波的不光滑性
%K 分支理论
%K 一类广义
%K 四阶
%K 非线性
%K 方程
%K 行波解
%K EQUATION
%K GENERALIZED
%K VARIANT
%K ORDER
%K NONLINEAR
%K CLASS
%K SOLUTIONS
%K 精确解
%K 特殊条件
%K 参数
%K 非光滑
%K 类型
%K Compacton
%K 周期波解
%K 孤立波解
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=00BA0F7AADF47576475946A115C38459&yid=67289AFF6305E306&vid=D3E34374A0D77D7F&iid=0B39A22176CE99FB&sid=F1A8654ADB4E656E&eid=C29816B2656377A7&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=0&reference_num=10