(1+1)维混合KdV方程的Weierstrass椭圆函数解

Weierstrass elliptic function solutions of(1+1)-dimensional mixed KdV equation

利用广义投影Riccati方程展开法,对(1+1)维混合KdV方程进行求解。结合Riccati方程的性质,得到一个关于若干参变量的代数系统,借助Mathematica符号计算功能,获得该方程新的具有双周期性的Weierstrass椭圆函数解。

In this paper,the generalized projected Riccati equation expansion method is used to solve the(1+1)-dimensional mixed KdV equation.Combined with the properties of Riccati equation,an algebraic system with respect to several parameter variables is obtained.With the help of Mathematica symbolic computing function,some new Weierstrass elliptic function solutions with double periodicity are finally obtained for this equation.