Application of the symmetry classification to the boundary value problem of nonlinear partial differential equations

作者：Bilige, Sudao^*; Wang Xiao-Min; Morigen, Wuyun

来源：Acta Physica Sinica, 2014, 63(4): 040201.

DOI：10.7498/aps.63.040201

• symmetry classification
• differential characteristic set algorithm
• the boundary value problem of partial differential equations

In this paper, we study the application of the symmetry classification to the boundary value problem of nonlinear partial differential equations. Firstly, by using differential characteristic set algorithm for the complete symmetry classification of partial differential equations, the complete symmetry classification of a given boundary value problem of nonlinear partial differential equations is proposed. Secondly, by using an extended symmetry, the boundary value problem of nonlinear partial differential equations is reduced to an initial value problem of the original differential equations. Finally, we numerically solve the initial value problem of the original differential equations by using RungeKutta method.

• 出版日期2014-2
• 单位内蒙古工业大学