λ-Symmetry and μ-Symmetry Reductions and Invariant Solutions of Four Nonlinear Differential Equations

作者：Bai, Yu-Shan; Pei, Jian-Ting; Ma, Wen-Xiu^*

来源：Mathematics, 2020, 8(7): 1138.

DOI：10.3390/math8071138

• lambda-symmetries
• mu-symmetries
• integrating factors
• invariant solutions

On one hand, we construct lambda-symmetries and their corresponding integrating factors and invariant solutions for two kinds of ordinary differential equations. On the other hand, we present mu-symmetries for a (2+1)-dimensional diffusion equation and derive group-reductions of a first-order partial differential equation. A few specific group invariant solutions of those two partial differential equations are constructed.

• 单位
  内蒙古工业大学; 浙江师范大学