变系数Gordoa -Pickering方程的容许变换与对称群  

Allowed Transformations and Symmetry Groups of Variable-Coefficient Gordoa-Pickering Equation

作　　者：苏丹 雍雪林[2] SU Dan;YONG Xuelin(Department of Mathematics,Zhanjiang Preschool Education College,Zhanjiang 524084,Guangdong China;School of Mathematics and Physics,North China Electric Power University,Beijing 102206,China)

机构地区：[1]湛江幼儿师范专科学校数学系,广东湛江524084 [2]华北电力大学数理学院,北京102206

出　　处：《吉首大学学报（自然科学版）》2022年第2期7-10,72,共5页Journal of Jishou University(Natural Sciences Edition)

基　　金：湛江市非资助科技攻关计划项目(2021B01506);中央高校基本科研业务费项目(2019MS050)。

摘　　要：研究了包含6个任意函数的变系数Gordoa-Pickering方程的容许变换,这些变换保持方程的形式不变但可能改变方程中的系数.基于容许变换,给出了2种情况下变系数方程的李点对称群及相应的对称约化和群不变解.The allowed transformations of the variable coefficient Gordoa-Pickering(VCGP)equation with six arbitrary functions are obtained.These transformations keep the form of the equation invariant but possibly change the arbitrary coefficients.Based on the allowed transformations,two types of Lie point symmetry groups are found.Finally,symmetry reductions and group invariant solutions of the VCGP equation are also considered.

关 键 词：变系数Gordoa-Pickering方程 容许变换 对称群 群不变解 

分 类 号：O175[理学—数学]