摘要
研究由麦克斯韦-布洛赫方程导出的(2+1)维广义Kadomtsev-Petviashvili(CGKP)方程。利用李对称分析方法,得到方程的李点对称性和对称的最优系统,在最优系统的基础上,得到大量显示解。此外,还研究了该方程的守恒定律。
In this paper,the(2+1)-dimensional cubic generalized Kadomtsev-Petvili(CGKP)equation derived from the Maxwell-Bloch equations was investigated.By applying Lie symmetry analysis,we obtained the Lie point symmetries of the equation and the optimal system of the symmetry algebra.Based on the optimal system,many groups of display solutions were obtained.In addition,some conservation laws of the equation were discussed.
作者
唐晓苓
刘汉泽
TANG Xiao-ling;LIU Han-ze(Mathematics Science College,Liaocheng University,Liaocheng 252000,Shandong,China)
出处
《内蒙古师范大学学报（自然科学汉文版）》
CAS
2020年第2期123-130,共8页
Journal of Inner Mongolia Normal University(Natural Science Edition)
基金
国家自然科学基金资助项目(11171041)。
关键词
CGKP方程
对称性
对称约化
守恒定律
CGKP equation
symmetries
symmetric reduction
conservation laws
