(2+1)维广义Nizhnik-Novikov-Veselov方程的几种类型新解及其相互作用

发布时间：2021-05-27 13:33

　　通过函数变换和符号计算系统Mathematica,获得了（2+1）维广义Nizhnik-Novikov-Veselov（N-N-V）方程的几种新结论。步骤1:给出函数变换,将（2+1）维广义N-N-V方程的求解问题转化为几个常微分方程和非线性代数方程组的求解问题。步骤2:借助符号计算系统Mathematica,求出非线性代数方程组的几组解。步骤3:在此基础上,构造（2+1）维广义N-N-V方程的三个任意函数组成的分离变量解和两个任意函数与常微分方程的解组成的分离变量解。步骤4:用符号计算系统Mathematica,分析解的相互作用。 

【文章来源】：内蒙古大学学报(自然科学版). 2020,51(06)北大核心

【文章页数】：8 页

【文章目录】：
1 方法与分离变量解
    1.1 方法
    1.2 分离变量解
    1.3 解及其相互作用
2 结论


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