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Zen Lobo, Jervin
- Lie Group Analysis of the Time-delayed Inviscid Burgers' Equation
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Authors
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1 Department of Mathematics, St. Xavier's College, Goa, IN
2 Department of Mathematics, Goa University, Taleigao Plateau, Goa, IN
1 Department of Mathematics, St. Xavier's College, Goa, IN
2 Department of Mathematics, Goa University, Taleigao Plateau, Goa, IN
Source
The Journal of the Indian Mathematical Society, Vol 88, No 1-2 (2021), Pagination: 105–124Abstract
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.Keywords
Delay partial dierential equations, Inviscid Burgers' equation, Kernel, Reduced equations, Symmetries
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