Inner symmetries of the spatially singular part of the solutions of the Burgers equation and their Lie representations

G. Barad, E. Czeizler, A. Paun

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Sammanfattning

We describe two new discrete symmetries of the inviscid Burgers (or Riemann-Hopf) equation ut+uux=0. We derived both of them using a local, formal approach of Hopf algebraic renormalization, a tool recently used in algorithmic computations. We prove that one of them is a Lie point transformation. Symmetries generate new exact solutions from the known solutions and provide useful frames of reference in the study of shock wave formation.
OriginalspråkEngelska
Artikelnummer103322
TidskriftResults in Physics
Volym19
DOI
StatusPublicerad - 2020
MoE-publikationstypA1 Tidskriftsartikel-refererad

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