Schrodinger方程的周期孤立波解及其时空分叉  

Periodic solitary wave solutions and its spatio-temporal bifurcation for Schrodinger equation

作　　者：傅海明[1] 戴正德[2] FU Hai-ming;DAI Zheng-de(Department of Basic Courses,Guangzhou Huaxia Vocational College,Guangzhou 510935,P.R.C.;Department of Mathematics,Yunnan University,Kunming 650091,P.R.C.)

机构地区：[1]广州华夏职业学院基础部,广东广州510935 [2]云南大学数学与统计学院,云南昆明650091

出　　处：《西南民族大学学报（自然科学版）》2020年第1期77-84,共8页Journal of Southwest Minzu University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11361048);广东省教育厅特色创新类项目(2017GKTSCX111)。

摘　　要：扩展了Hirota法,即将Hirota法中的测试函数改用含有三角函数,双曲函数和指数函数的三波函数来替代,把一个非线性微分方程的求解转化为一个多项式方程组的求解,再利用MATLAB便能解决.把该方法用到Schrodinger方程,得到了其新的周期孤波解和周期双孤立波解等重要结果,进而研究Schrodinger方程的周期孤波解和周期双孤立波解所描述的动力系统的时空分岔问题.The Hirota method is extended by replacing the test function in Hirota method with the three-wave function containing trigonometric function,hyperbolic function and exponential function,and converting a linear differential equation solution into a polynomial solution,and then Matlab is used to solve it.By applying this method to Schrodinger equation,some new periodic solitary wave solutions and periodic double solitary wave solutions are obtained,and the time-space bifurcations of dynamical systems described by periodic solitary wave solutions and periodic double solitary wave solutions for Schrodinger equation are studied.

关 键 词：SCHRODINGER方程 HIROTA方法 双周期波解 孤立波解 

分 类 号：O175[理学—数学]