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

G. Barad, E. Czeizler, A. Paun

Tutkimustuotos: LehtiartikkeliArtikkeliTieteellinenvertaisarvioitu

Abstrakti

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.
AlkuperäiskieliEnglanti
Artikkeli103322
JulkaisuResults in Physics
Vuosikerta19
DOI - pysyväislinkit
TilaJulkaistu - 2020
OKM-julkaisutyyppiA1 Julkaistu artikkeli, soviteltu

Sormenjälki

Sukella tutkimusaiheisiin 'Inner symmetries of the spatially singular part of the solutions of the Burgers equation and their Lie representations'. Ne muodostavat yhdessä ainutlaatuisen sormenjäljen.

Viittausmuodot