Lie Group Analysis of the Time-Delayed Inviscid Burgers’ Equation
Author : Jervin Zen Lobo, Y. S. Valaulikar Volume: 88 issue: 1-2 Year: 2021 Views : 332
Abstract:
In this paper, we discuss group analysis of first-order delay partial differential equations and use it to obtain symmetries of the Inviscid Burgers equation with delay, its kernel and extensions of the kernel. We obtain a Lie type invariance condition for first-order delay partial differential equations by using Taylors theorem for a function of several variables. We obtain the symmetries admitted by this delay partial differential equation. Further, we obtain representations of analytic solutions and the reduced equations from the symmetries.
