用变分导数方法构造非线性Compacton ZK方程的无穷多个守恒律  

Constructing Infinite Conservation Laws for Nonlinear Compacton ZK Equations via a Variational Derivative Method

作　　者：高秀丽 额尔敦布和[1,2,3] 

机构地区：[1]内蒙古工业大学理学院,呼和浩特010051 [2]呼和浩特民族学院数学系,呼和浩特010051 [3]内蒙古大学数学科学学院,呼和浩特010021

出　　处：《内蒙古大学学报（自然科学版）》2017年第5期499-506,共8页Journal of Inner Mongolia University：Natural Science Edition

基　　金：国家自然科学基金项目(No.11661034);内蒙古高等学校科学研究项目(No.NJZZ16279;No.NJZY13268);内蒙古自治区青年创新人才支持项目;内蒙古自治区人才开发基金支持项目;呼和浩特民族学院科技创新团队建设资助项目(No.CXTD1402)资助

摘　　要：借助吴方法和Maple符号计算系统,利用变分导数方法和乘子策略构造等离子物理中的一类非线性Compacton ZK方程的守恒律.首先,基于变分导数方法确定ZK方程的乘子集;其次,利用乘子策略推出ZK方程的守恒律.值得一提的是:导出ZK方程的无穷多个乘子及其对应的守恒律,这对揭示该方程的相关属性方面具有重要意义.With the help of Wu＇s method and Maple symbolic computation system,the conservation laws of a kind of nonlinear Compacton ZK equations in plasma physics are constructed by using the variational derivative method with strategy of multipliers. Firstly, a set of multipliers is determined based on the variational derivative. Secondly, the conservation laws are presented by applying multipliers. It is worth mentioning that their infinite multipliers and corresponding conservation laws are derived, which have important significances for revealing in terms of some related properties of above equations.

关 键 词：变分导数 非线性Compacton ZK方程 乘子 守恒律 

分 类 号：O175.29[理学—数学] O572.23[理学—基础数学]