摘要
In this paper,extended projective Riccati equation method is presented for constructing more new exactsolutions of nonlinear differential equations in mathematical physics,which is direct and more powerful than projectiveRiceati equation method,In order to illustrate the effect of the method,Broer-Kaup-Kupershmidt system is employedand Jacobi doubly periodic solutions are obtained.This algorithm can also be applied to other nonlinear differentialequations.
In this paper, extended projective Riccati equation method is presented for constructing more new exact solutions of nonlinear differential equations in mathematical physics, which is direct and more powerful than projective Riccati equation method. In order to illustrate the effect of the method, Broer Kaup Kupershmidt system is employed and Jacobi doubly periodic solutions are obtained. This algorithm can also be applied to other nonlinear differential equations.
基金
the State Key Basic Research Development Program of China under Grant No.2004CB318000
关键词
非线性局部方程式
投射方程式
求解方法
数学
nonlinear- partial differential equations, extended projective Riccati equation method, exact solutions, Broer- Kaup Kupershmidt system
