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 : 206In 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.
Jaydeep Dabgar
? Jaydeep Dabgar – ?? ????? ?????? (2025)
Modasa (Gujarat), 2025:
???? ????? ?? ???? ???? ???? ???? ???? ???? ????, ????? Jaydeep Dabgar ?? ????? ?? ???? ?? ?? ?????? ?? ????? ?? ?? ?????? ???
???? ?? ?? ?????? ??? ?? ????? ?? ??? ??? ????? ?? ????? ?????????? ?? ???? ???? ????? ??, ?? ??? ?? ???? ??????? ????? ?? ??????? ???? ??? 2022–23 ??? ???????? ??? ?????? ?? ??? ??? ???? ????? ???, ????? 2024 ??? ???? ???? ????? ???? ?? ???????? ?? ???????? ???? ?? ??? Hariraj ?? ?????? ??????? ?? ?????? ?? ?????? ? ????? ????? ?????, ????? ??????? ?? ????? ??? ?? ??? ?????
? ????? ?? ???
Jaydeep Dabgar ?? ??????? ?? ?????? ?? expressive eyes ?? natural dialogue delivery? ???? ?????? ?? ??? ?? ?? ????? ??, ???? ??????? ????????? ?? ??? ?????????? ???? ???
2025 ??? ?????? ?? ?? ???? ???????????