Group analysis of the one dimensional wave equation with delay

Jervin Zen Lobo and Y.S. Valaulikar

Applied Mathematics and Computation, 2020, vol. 378, issue C

Abstract: In this paper, we establish a Lie type invariance condition for second order delay partial differential equations. The determining equations are obtained using Taylor’s theorem for a function of several variables. The symmetries of the wave equation with delay, its kernel and extensions of the kernel have been found. We make a complete group classification of the wave equation containing an arbitrary differentiable functional with delay, for which there is no existing literature. Further, the complete set of invariant solutions led by this classification have been found.

Keywords: Delay partial differential equations; Group analysis; Kernel; Symmetries; Wave equation (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:378:y:2020:i:c:s0096300320301624

DOI: 10.1016/j.amc.2020.125193

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