摘要
对求解非线性数学物理方程的F 展开法作了一点扩展,并利用此方法求出了mKdV方程的一些用Jacobi椭圆函数表示的双周期波解,尤其是用两个不同Jacobi椭圆函数表示的周期波解。在极限情形,得到了该方程的孤立波解(如激波解)和三角函数表示的周期波解。
The F-expansion method is slightly extended, by means of which some double periodic wave solutions expressed various Jacobi elliptic functions, especially the solutions expressed by two different Jacobi elliptic functions to the mKdV equation have obtained. In the limit cases, the solitary wave solutions(for example, shock wave solutions)and other type wave solutions are obtained as well. The method used here can be applied to solve other nonlinear equations of mathematical physics.
出处
《河南科技大学学报（自然科学版）》
CAS
2004年第4期86-89,共4页
Journal of Henan University of Science And Technology:Natural Science
基金
河南省自然科学基金资助项目(0111050200)
河南省教育厅自然科学基金资助项目(2003110003)
河南科技大学科研基金资助项目(2003QN13)
