One of the advantages of the variational iteration method is the free choice of initial guess. In this paper we use the basic idea of the Jacobian-function method to construct a generalized trial function with some un...One of the advantages of the variational iteration method is the free choice of initial guess. In this paper we use the basic idea of the Jacobian-function method to construct a generalized trial function with some unknown parameters. The Jaulent-Miodek equations are used to illustrate effectiveness and convenience of this method, some new explicit exact travelling wave solutions have been obtained, which include bell-type soliton solution, kink-type soliton solutions, solitary wave solutions, and doubly periodic wave solutions.展开更多
通过构造辅助方程,求出了具五次强非线性项的L ienard方程的多种新精确解,包括孤波解、三角函数解、Jacob i椭圆函数解.利用所得结果可以求出Kundu方程、导数Schr d inger方程和力学中重要的具五次强非线性项的波方程以及PC方程等重要...通过构造辅助方程,求出了具五次强非线性项的L ienard方程的多种新精确解,包括孤波解、三角函数解、Jacob i椭圆函数解.利用所得结果可以求出Kundu方程、导数Schr d inger方程和力学中重要的具五次强非线性项的波方程以及PC方程等重要非线性发展方程的精确解.展开更多
基金National Natural Science Foundation of China under Grant No.10172056
文摘One of the advantages of the variational iteration method is the free choice of initial guess. In this paper we use the basic idea of the Jacobian-function method to construct a generalized trial function with some unknown parameters. The Jaulent-Miodek equations are used to illustrate effectiveness and convenience of this method, some new explicit exact travelling wave solutions have been obtained, which include bell-type soliton solution, kink-type soliton solutions, solitary wave solutions, and doubly periodic wave solutions.