Acta Applicandae Mathematicae

, Volume 101, Issue 1, pp 21–38

Invertible Mappings of Nonlinear PDEs to Linear PDEs through Admitted Conservation Laws


DOI: 10.1007/s10440-008-9205-7

Cite this article as:
Anco, S., Bluman, G. & Wolf, T. Acta Appl Math (2008) 101: 21. doi:10.1007/s10440-008-9205-7


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.


Conservation laws Linearization Symmetries 

Mathematics Subject Classification (2000)

35A30 58J70 35L65 35A34 22E65 70H33 

Copyright information

© Springer Science+Business Media B.V. 2008

Authors and Affiliations

  1. 1.Department of MathematicsBrock UniversitySt. CatharinesCanada
  2. 2.Department of MathematicsUniversity of British ColumbiaVancouverCanada

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