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

G. Barad, E. Czeizler, A. Paun

Research output: Contribution to journalArticleScientificpeer-review

Abstract

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.
Original languageEnglish
Article number103322
JournalResults in Physics
Volume19
DOIs
Publication statusPublished - 2020
MoE publication typeA1 Journal article-refereed

Keywords

  • Symmetries of PDE
  • Quasi-Miura algebraic methods
  • Inviscid Burgers equation

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