Caudrey-Dodd-Gibbon-Kotera-Sawada方程的对称、精确解和守恒律  

Symmetries,exact solutions and conservation laws of Caudrey-Dodd-Gibbon-Kotera-Sawada equation

作　　者：王婷婷[1] 刘希强[1] 于金倩[1] 

机构地区：[1]聊城大学数学科学学院,山东聊城252059

出　　处：《量子电子学报》2011年第4期385-390,共6页Chinese Journal of Quantum Electronics

基　　金：国家自然科学基金与中物院联合基金资助项目(11076015);山东省自然科学基金资助项目(2008A35)

摘　　要：应用改进的CK直接方法,得到了(2+1)维Caudrey-Dodd-Gibbon-Kotera-Sawada(CDGKS)方程的对称群定理。利用对称群理论和方程的旧解得到了该方程新的精确解,扩大了解的范围。最后根据对称和共轭方程求出了(2+1)维CDGKS方程的无穷多守恒律。By using the improved CK’s method,the symmetry group theorem of（2＋1）-dimensional Caudrey-Dodd -Gibbon-Kotera-Sawada equation is derived.Some new exact solutions of（2＋1）-dimensional CDGKS equation are obtained by applying the theorem and given solutions,which expands the scope of solutions of CDGKS equation.Infinite conservation laws of（2＋1）-dimensional CDGKS equation are also found by the symmetries and adjoint equation.

关 键 词：(2+1)维CDGKS方程 改进的CK直接方法 精确解 守恒律 

分 类 号：O175.2[理学—数学]