%0 Journal Article %T Travelling Wave Solutions in a Class of Nonlinear Fourth Order Variant of a Generalized Camassa-Holm Equation
一类广义四阶非线性Camassa-Holm方程的行波解 %A TANG Yaning %A XU Wei %A
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
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