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.
出处
《量子电子学报》
CAS
CSCD
北大核心
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)