改进的tan(?(ξ)/2)-展开法和几类非线性分数阶发展方程
The Improved tan(?(ξ)/2)-Expansion Method and Several Types of Nonlinear Fractional Evolution Equation
项芳婷 1赵小山1
作者信息
- 1. 天津职业技术师范大学 理学院,天津 300222
- 折叠
摘要
运用改进的tan(ϕ(ξ)/2)-展开法,以一阶常系数微分方程为辅助方程,结合齐次平衡原理,研究了非线性分数阶 Khokhlov-Zabolotskaya-Kuznetsov(KZK)方程、非线性分数阶 foam drainage方程、非线性分数阶Jimbo-Miwa(JM)方程.借助符号计算系统Maple,求出了方程的多种精确解,这些解包括周期解、孤子解、有理函数解、指数函数解,扩大了解的范围.
Abstract
Using the improved tan(ϕ(ξ)/2)-expansion method and the first order constant coefficient differen-tial equation as an auxiliary equation,combined with the principle of homogeneous equilibrium,the nonlinear fractional order KZK equation,nonlinear fractional order foam drainage equation,and nonlinear fractional order Jimbo Miwa(JM)eqution are studied.With the aid of coincidence computing system Maple,various exact solu-tions of the equation are obtained,including periodic solutions,soliton solutions,rational function solutions,and exponential function solutions,expanding the scope of the solution.
关键词
改进的tan(ϕ(ξ)/2)-展开法/非线性分数阶发展方程/精确解Key words
improved tan(ϕ(ξ)/2)-expansion method/nonlinear fractional evolution equation/exact solution引用本文复制引用
出版年
2024
NETL
NSTL
万方数据