Group analysis of the one dimensional wave equation with delay
作者：
Highlights：
• The application of Taylor’s theorem is found to be effective in obtaining the determining equations for second order delay partial differential equations.
• The infinitesimal generator of the admitted Lie group for the wave equation with delay is found.
• The symmetry of the wave equation with delay admits a two-dimensional Lie group.
• We have obtained the complete set of invariant solutions of the wave equation with delay, led by it’s classification.
摘要
•The application of Taylor’s theorem is found to be effective in obtaining the determining equations for second order delay partial differential equations.•The infinitesimal generator of the admitted Lie group for the wave equation with delay is found.•The symmetry of the wave equation with delay admits a two-dimensional Lie group.•We have obtained the complete set of invariant solutions of the wave equation with delay, led by it’s classification.
论文关键词：Delay partial differential equations,Group analysis,Kernel,Symmetries,Wave equation
论文评审过程：Received 26 November 2019, Revised 20 February 2020, Accepted 24 February 2020, Available online 19 March 2020, Version of Record 19 March 2020.
论文官网地址：https://doi.org/10.1016/j.amc.2020.125193
