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Lie Group Analysis of the Time-delayed Inviscid Burgers' Equation
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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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