Lie Group Analysis of the Time-delayed Inviscid Burgers' Equation
Authors
-
Department of Mathematics, St. Xavier's College, Goa ,IN
Jervin Zen Lobo -
Department of Mathematics, Goa University, Taleigao Plateau, Goa ,INY. S. Valaulikar
DOI:
https://doi.org/10.18311/jims/2021/24983Keywords:
Delay partial dierential equations, Inviscid Burgers' equation, Kernel, Reduced equations, SymmetriesAbstract
In this paper, we discuss group analysis of rst-order delay partial di erential equations and use it to obtain symmetries of the Invis- cid Burgers' equation with delay, its kernel and extensions of the kernel. We obtain a Lie type invariance condition for rst-order delay partial di erential equations by using Taylor's theorem for a function of several variables. We obtain the symmetries admitted by this delay partial di er- ential equation. Further, we obtain representations of analytic solutions and the reduced equations from the symmetries.
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Copyright (c) 2021 Jervin Zen Lobo, Y. S. Valaulikar
This work is licensed under a Creative Commons Attribution 4.0 International License.
Accepted 2023-01-30
Published 2021-01-28
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