Invertible Mappings of Nonlinear PDEs to Linear PDEs Through Admitted Conservation Laws
arXiv:0712.1835
Abstract
An algorithmic method using conservation law multipliers is introduced that yields necessary and sufficient conditions to find invertible mappings of a given nonlinear PDE to some linear PDE and to construct such a mapping when it exists. Previous methods yielded such conditions from admitted point or contact symmetries of the nonlinear PDE. Through examples, these two linearization approaches are contrasted.
20 pages. Published version to appear in a special issue "Geometric Methods in Differential Equations" of Acta Appl. Math