给出了第一种椭圆方程的一些新解和解的非线性叠加公式,然后与一种函数变换相结合,借助符号计算系统Mathematica,构造了变系数(3+1)维Zakharov-Kuznetsov方程的类Jacobi椭圆函数精确解以及无穷多个类孤子解和三角函数解.
Some new solutions of the first kind of elliptic equation and formula of nonlinear superposition of the solutions are given. Combing the solutions with fimction transformation to construct Jacobi-like elliptic function exact solutions, a number of soliton-like solutions and triangular solutions of (3+1)-dimensional Zakharov-Kuznetsov equation with variable coefficients are given with the help of symbolic computation system Mathematica.
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