Algebra of symmetry operators for an invariant nonlinear-transport equation

The invariant form of nonlinear transform equation and enlarged systems of nonlinear transform equations in coordinates $(x,t)$, $(e,t)$ and $(e,x)$ are presented, where $x$ – Eulerian coordinate, $t$ – time, $e$ – energy space variable. Point symmetry operators algebra is calculated for invariant nonlinear transform equation. It is shown that this algebra is admitted by enlarged systems of nonlinear transform.