时空分数阶双Sine-Gordon方程的显式精确解  

Explicit Exact Solutions of Space-Time Fractional Double Sine-Gordon Equation

作　　者：林鸿夸 

机构地区：[1]广州大学数学与信息科学学院,广东 广州

出　　处：《应用数学进展》2021年第3期689-693,共5页Advances in Applied Mathematics

摘　　要：本文结合变量分离的ODE方法和一个复变换,通过找到一个合适且易于求解的辅助方程,构造出带有conformable分数阶导数的双Sine-Gordon方程一些新的精确解,丰富了其精确解解系。同时表明该方法高效简洁,可应用于求解其他同类型分数阶偏微分方程。In this paper, combing the variable separated ODE method and a complex transformation, we constructed some new exact solutions of the double Sine-Gordon equation with conformable fractional derivative. Especially, we found a suitable auxiliary equation which can be solved easily and powerful for enriching its exact solution system. It is shown that this method is efficient and simple. Thus, the used method is highly recommended to solve other fractional partial differential equations of the same type.

关 键 词：变量分离的ODE方法 Conformable分数阶导数 精确解 

分 类 号：G63[文化科学—教育学]