一类时空分数阶爆破孤立子方程组的新解法
A New Method of the Time-Space Fractional Breaking Soliton Equations
陈兆蕙 1唐跃龙2
作者信息
- 1. 广州城市理工学院 计算机工程学院,广州 510800
- 2. 湖南科技学院 理学院,湖南 永州 425000
- 折叠
摘要
为得到一类时空分数阶爆破孤立子方程组的新精确解,本文采用了一种新的解法——拓展的(G'/G)-展开方法.首先通过行波变换,将原分数阶偏微分方程组转化为整数阶非线性常微分方程组,其次结合齐次平衡原理,增加负幂次项,将含有相同次数的幂结合,并令同次幂系数为零,再运用数学软件MATLAB求解相应的系数方程组,得出该方程新的含有参数形式的精确解.结果表明:拓展的(G'/G)-展开方法能丰富这类分数阶偏微分方程的精确解.
Abstract
In order to seek new exact solutions of a class of space-time fractional breaking soliton equations,a new method—the extended(G'/G)-expansion method,is proposed in this paper.First,the original fractional partial differential equations are transformed into integer nonlinear differential equation by traveling wave transformation.Secondly,the theory of homogeneous principle is combined with the addition of negative power terms,and make the same power coefficient to zero,and then use the mathematical software MATLAB to solve the corresponding coefficient equations,new exact solutions of the equations with parameter form are obtained.The results show that the extended(G'/G)-expansion method can enrich the exact solutions of this kind of fractional partial differential equation.
关键词
时空分数阶爆破孤立子方程组/拓展的(G'/G)-展开方法/MATLAB软件/新精确解Key words
time-fractional breaking soliton equations/extended(G'/G)-expansion method/MATLAB software/new exact solutions引用本文复制引用
基金项目
湖南省自然科学基金项目(2020JJ4323)
广州城市理工学院校级科研项目(56-K0223006)
广州城市理工学院校级科研项目(56-K0223016)
出版年
2024
NETL
NSTL
万方数据