The use of factors to discover potential systems or linearizations (Q1903553)

A conservation law of a PDE system is named a potential conservation law if at least one component of its generating function is a nowhere vanishing function. It is shown that every potential conservation law generates the covering PDE system of the initial system and that point symmetries of this covering can yield nonlocal symmetries of the initial system and its linearization by a differential substitution. Necessary conditions for the existence of a linearization of a PDE system are given.