학술논문
Inner symmetries of the spatially singular part of the solutions of the Burgers equation and their Lie representations
Document Type
article
Author
Source
Results in Physics, Vol 19, Iss , Pp 103322- (2020)
Subject
Language
English
ISSN
2211-3797
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.