摘要
利用辅助函数法求解非线性耦合薛定谔系统,把求解非线性偏微分方程组的问题转化为求解代数方程组的问题,进一步应用Maple软件得到了十组精确行波解,其中解的形式有双曲函数、椭圆函数、三角函数和有理函数等.最后,利用Maple软件给出了两种解的图形.
The auxiliary functions method is used to solve the nonlinear coupling Schrodinger equations,solving nonlinear partial differential equations of the problem will be transformed into solving algebraic equations.Further application of the Maple software gets ten exact travelling wave solutions.There are hyperbolic secant function,elliptical function,and rational function and so on.The figures of two solutions are given at last.
作者
赵建卫
李紫君
ZHAO Jianwei;LI Zijun(Department of Common Required Courses, Zhengzhou Technology and Business University, Zhengzhou 451400, China)
出处
《河南教育学院学报(自然科学版)》
2018年第1期25-31,共7页
Journal of Henan Institute of Education(Natural Science Edition)
基金
国家自然科学基金项目(10671057)
关键词
辅助函数法
非线性耦合薛定谔系统
代数方程组
MAPLE
精确行波解
auxiliary functions
nonlinear coupled Schrodinger equations
algebraic system of equations
Maple
exact travelling wave solutions