【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.更多还原

【Abstract】 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.更多还原