一类时间分数阶耦合Boussinesq-Burger方程在不变子空间中的精确解  

Exact Solutions for a Class of Time Fractional Coupled Boussinesq-Burger Equations in the Invariant Subspace

作　　者：李林芳 舒级[1] 文慧霞 LI Linfang;SHU Ji;WEN Huixia(College of Mathematics Science,Sichuan Normal University,Chengdu 610066,Sichuan)

机构地区：[1]四川师范大学数学科学学院

出　　处：《四川师范大学学报（自然科学版）》2020年第1期33-38,共6页Journal of Sichuan Normal University（Natural Science）

基　　金：国家自然科学基金(11371267和11571245);四川省科技厅应用基础计划项目(2016JY0204)

摘　　要：应用不变子空间方法研究分数阶耦合非线性偏微分方程,并构造时间分数阶Boussinesq-Burger方程组的精确解.在变量变换意义下,由不变条件给出方程的不变子空间,使方程在不变子空间中被约化为一阶常微分方程组,通过求解常微分方程组,最终获得方程组的精确解.In this paper,the invariant subspace method is applied to study fractional coupled nonlinear partial differential equations and construct exact solutions for the time fractional Boussinesq-Burger equations.In the sense of variable transformations,the invariant subspace of the equations are given by invariant conditions.Then the equations are reduced to ordinary differential equations in the invariant subspace,and their exact solutions are obtained by solving ordinary differential equations.

关 键 词：不变子空间方法 Boussinesq-Burger方程组 变量变换 精确解 

分 类 号：O175.29[理学—数学]