摘要
利用Fan子方程法并借助符号计算软件Maple,研究(2+1)维Kaup-Kupershmidt方程,获得了该方程丰富的精确行波解:有理函数解、三角函数解、双曲函数解、指数函数解、双周期Jacobi椭圆函数解、Weierstrass椭圆函数解,并给出相应的波形图。结果表明,该方法是求解非线性偏微分方程精确行波解的一种有效方法。
In this paper,we study(2+1)-dimensional Kaup-Kupershmidt equations with Fan sub-equation method.With the help of symbolic computational software Maple,we obtain rich exact traveling wave solutions,such as rational function solutions,triangular function solutions,hyperbolic function solutions,exponential function solutions,Jacobi elliptic function solutions with double periodic and Weierstrass elliptic doubly periodic function solutions.At the same time,the traveling wave figures are given.Research result shows that the method for solving nonlinear partial differential equations is effective.
出处
《桂林电子科技大学学报》
2015年第1期79-86,共8页
Journal of Guilin University of Electronic Technology
基金
国家自然科学基金(11061010
61004101)
广西自然科学基金(2011GXNSFA018136
2011GXNSFB018059)
广西研究生教育创新计划(2011105950701M27)