@misc{AncoBlumanWolf, author = {Anco, Stephen and Bluman, George and Wolf, Thomas}, title = {Invertible Mappings of Nonlinear PDEs to Linear PDEs Through Admitted Conservation Laws}, organization = {Department of Mathematics, Brock University, St. Catharines, ON Canada L2S 3A1}, issn = {1438-0064}, doi = {10.1007/s10440-008-9205-7}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-10652}, number = {08-11}, 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.}, language = {en} }