  The present paper studies a method of finding Lagrangian transformations, in
the form of particle paths, for all scalar conservation laws having a smooth
flux. These are found using the notion of weak diffeomorphisms. More precisely,
from any given scalar conservation law, we derive a Temple system having one
linearly degenerate and one genuinely nonlinear family. We modify the system to
make it strictly hyperbolic and prove an existence result for it. Finally we
establish that entropy admissible weak solutions to this system are equivalent
to those of the scalar equation. This method also determines the associated
weak diffeomorphism.
