Invertible Mappings of Nonlinear PDEs to Linear PDEs Through Admitted Conservation Laws
Mathematical Physics
2010-07-09 v2 math.MP
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.
Keywords
Cite
@article{arxiv.0712.1835,
title = {Invertible Mappings of Nonlinear PDEs to Linear PDEs Through Admitted Conservation Laws},
author = {Stephen C. Anco and George Bluman and Thomas Wolf},
journal= {arXiv preprint arXiv:0712.1835},
year = {2010}
}
Comments
20 pages. Published version to appear in a special issue "Geometric Methods in Differential Equations" of Acta Appl. Math