基于含负幂项与非负幂项G′/G+G′-展开法的非线性时空分数阶电报方程新精确解  

Large Exact Solutions of Nonlinear Space-time Fractional-order Telegraph Equations Based on Negative Power Terms and Non-negative Power terms G′/G+G′-expansion Method

作　　者：吴大山 孙峪怀[1] 杜玲禧 WU Dashan;SUN Yuhuai;DU Lingxi(College of Mathematics Science,Sichuan Normal University,Chengdu,Sichuan 610066,China)

机构地区：[1]四川师范大学数学科学学院

出　　处：《内江师范学院学报》2020年第2期20-24,共5页Journal of Neijiang Normal University

基　　金：国家自然科学基金项目(11371267)

摘　　要：借助整合分数阶导数与分数阶复变换将非线性时空分数阶电报方程转化为常微分方程,应用含负幂项与非负幂项G′/G+G′-展开法并借助Maple构建非线性时空分数阶电报方程的新精确解.最后,通过控制变量法改变阶数α作出部分精确解取定参数的图形.The nonlinear space-time fractional telegraph equation was converted into an ordinary differential equation by use of integrated fractional-order derivative and the fractional complex transformation.A new exact solution to the nonlinear spatio-temporal fractional telegraph equation using the negative power term and the non-negative power term-expanding method and using Maple.Finally,by variable control method the order was changed,thus to draw a graph when some of the exact solutions is set at a fixed parameters.

关 键 词：整合分数阶导数 非线性时空分数阶电报方程 含负幂项G′/G+G′-展开法 非负幂项G′/G+G′-展开法 MAPLE 控制变量法 新精确解 

分 类 号：O175.29[理学—数学]