摘要
利用辅助函数法求解非线性耦合KdV方程组,把求解非线性偏微分方程组的问题转为求解代数方程组的问题,进一步应用Maple软件得到方程的十种精确行波解,其中解的形式包括双曲函数、雅克比椭圆函数、三角函数和有理函数等;最后,利用Maple软件给出了某些精确解的图形.
When auxiliary functions method is used to solve the nonlinear coupling KdV equations , solving nonlinear partial differential equations of the problem will be transformed into solving algebraic equations .By the further application of the Maple software get ten exact travelling wave solutions , which contain hyperbolic function,Jacobi elliptic function,trigonometric function,rational function and so on.At last,some figures of the obtained solutions was given using the Maple software .
出处
《吉林师范大学学报（自然科学版）》
2015年第3期41-47,共7页
Journal of Jilin Normal University:Natural Science Edition
基金
国家自然科学基金项目(10671057)
关键词
辅助函数法
非线性耦合KdV方程组
精确行波解
auxiliary functions
nonlinear coupled KdV equations
exact travelling wave solution
