摘要
通过构造4个新的推广形式的Jacobi椭圆函数,扩展椭圆函数展开法、F-展开法和Riccati方程法.借助Mathematica软件,求出KdV方程、Zakharov-Kuznetsov方程一系列新的精确解,在极限情况下可得到相应的孤立波解和单周期波解.
Elliptic function expansion method,F-expansion method and Riccati equation expansion method were extended by constructing four new extended Jacobi elliptic founctions.With the aid of Mathematica software,a series of new exact solutions of KdV equation and Zakharov-Kuznetsov equation was obtained.In the limit case,the corresponding solitary wave solutions and the single triangle function solutions were produced.
出处
《南京工程学院学报（自然科学版）》
2010年第1期1-7,共7页
Journal of Nanjing Institute of Technology(Natural Science Edition)
基金
南京工程学院科研基金项目(KXJ08047)
