【摘要】 本文将双Jacobi椭圆函数展开法以及"秩"的概念应用于求解KdV方程,得到了许多组新的用双椭圆函数表示的准确周期解。应用该方法得到的有些周期解在极限情况下可以退化为相应的孤立波解。这种方法还可以用于求解其它非线性波方程。更多还原

【Abstract】 In this paper, a doubly Jacobian elliptic function expansion method and a concept of "rank" are applied to construct the new exact periodic solutions of KdV equation. These periodic solutions obtained by this method can be reduced to the solitary wave solutions under the limit condition. We believe that this method can also be applied to other nonlinear wave equations.更多还原