摘要
采用Fan子方程法并借助符号计算软件Maple求解Zhiber-Shabat方程,利用平衡法求得Fan子方程的参数约束条件,得出在不同参数条件下子方程解的显式表达式,进而获得了原方程丰富的精确行波解,得到几类具有代表性的行波解,包括三角函数解、双曲函数解、双周期Jacobi椭圆函数解。
In this letter,the Fan sub-equation method is used to construct traveling wave solutions of the Zhiber-Shabat equation with the aid of software Maple.By using the balance method we can get the condition of parameters of the sub-equation and the solutions of it under different parameter conditions,then some exact solutions of the Zhiber-Shabat equation are obtained,which include triangular function solutions,hyperbolic function solutions and Jacobi elliptic function solutions with double periodics.
出处
《桂林电子科技大学学报》
2012年第2期162-166,共5页
Journal of Guilin University of Electronic Technology
基金
国家自然科学基金(11061010)
中国博士后基金(20100480952)
广西自然科学基金(2011GXNSFA018136)
广西研究生教育创新计划资助项目(2011105950701M27)
