【摘要】 利用Weierstrass型F-展开法求得（2+1）维Kadomtsev-Petviashvil(KP)方程的Weierstrass椭圆函数解。通过确定Weierstrass椭圆函数和Jacobi椭圆函数的转换公式，将Weierstrass椭圆函数解转化为Jacobi椭圆函数解。在椭圆模数取0或1极限的状态下，Jacobi椭圆函数解分别退化为三角函数解或双曲函数解。此外，通过绘制图像说明所得解的动态特性。更多还原

【Abstract】 The Weierstrass elliptic function solutions of the (2+1)-dimensional Kadomtsev-Petviashvil (KP) equation are obtained by using the Weierstrass F-expansion method in the paper. The solutions of Weierstrass elliptic function are transformed into Jacobi elliptic function solutions through the conversion formula between Weierstrass elliptic function and Jacobi elliptic function. When the elliptic modulus approaches to limit state of 0 or 1, Jacobi elliptic function solutions degenerate into trigonometric function solutions or hyperbolic function solutions correspondingly. In addition, some graphs are drawn to illustrate the dynamic characteristics of the obtained solutions.更多还原