论文标题
Weierstrass类型的投影riccati方程扩展方法和KDV方程的解决方案
Weierstrass type projective Riccati equation expansion method and solutions of KdV equation
论文作者
论文摘要
本文介绍了投影性riccati方程的两个新的Weierstrass椭圆函数解决方案，以及四个转换公式，用于将WeierStrass椭圆函数转换为双曲线和三角函数。 WeierStrass椭圆函数解决方案和转换公式用于提出所谓的WeierStrass型投影riccati方程扩展方法。 WeierStrass椭圆函数解，KDV方程的孤立波和周期波解决方案是使用所提出的方法构建的。 KDV方程的孤立波和周期波解通过一些数字显示。
This paper presents two new Weierstrass elliptic function solutions of the projective Riccati equations and four conversion formulas for converting the Weierstrass elliptic functions to the hyperbolic and trigonometric functions. The Weierstrass elliptic function solutions to the projective Riccati equations and the conversion formulas are used to propose the called Weierstrass type projective Riccati equation expansion method. The Weierstrass elliptic function solutions, the solitary wave and the periodic wave solutions of the KdV equation are constructed by using the proposed method. The solitary wave like and the periodic wave solutions of the KdV equation are shown through some figures.
