摘要
为了构建非线性时空分数阶电报方程新的精确解,本文结合整合分数阶导数,运用扩展的(G′/G)-展开法,引入新的辅助方程。得到的新的精确解包括了双曲函数解、三角函数解和有理函数解,丰富了非线性时空分数阶电报方程的解系。
To construct the new exact solutions for nonlinear space-time fractional telegraph equation,this paper introduces a new auxiliary equation by extended (G′/G)-expansion method in combination with integrate fractional derivative.The new exact solutions include hyperbolic function solution,trigonometric function solution and rational functional solution,which enriches the solution system of nonlinear space-time fractional telegraph equation.
作者
廖红梅
孙峪怀
熊淑雪
康丽
LIAO Hongmei;SUN Yuhuai;XIONG Shuxue;KANG Li(College of Mathematics and Software Science,Sichuan Normal University,Chengdu Sichuan 610066,China)
出处
《西华师范大学学报（自然科学版）》
2019年第2期154-158,共5页
Journal of China West Normal University(Natural Sciences)
基金
国家自然科学基金项目(11371267)
四川省教育厅自然科学重点基金资助项目(2012ZA135)
关键词
扩展的(G′/G)-展开法
非线性时空分数阶电报方程
双曲函数解
三角函数解
有理函数解
extended (G′/G)-expansion method
nonlinear space-time fractional telegraph equation
hyperbolic function solution
trigonometric function solution
rational functional solution
