论文标题
构建Weierstrass椭圆函数解决方案及其退化的MKDV方程解的方法
A method for constructing Weierstrass elliptic function solutions and their degenerated solutions of the mKdV equation
论文作者
论文摘要
通过使用投影性riccati方程的Weierstrass椭圆函数解决方案和将WeierStrass椭圆函数转换为双曲线和三角函数的转换公式，提出了一种Weierstrass类型的投射Riccati方程扩展方法。 Weierstrass椭圆函数溶液及其退化的溶液，包括孤立波和MKDV方程的周期波解，使用该方法获得。
A Weierstrass type projective Riccati equation expansion method is proposed by using the Weierstrass elliptic function solutions of the projective Riccati equations and the conversion formulas which transform the Weierstrass elliptic functions into the hyperbolic and the trigonometric functions. The Weierstrass elliptic function solutions and their degenerated solutions including the solitary wave and the periodic wave solutions of the mKdV equation are obtained by using the proposed method.
