Invertible Mappings of Nonlinear PDEs to Linear PDEs through Admitted Conservation Laws
- First Online:
- Cite this article as:
- Anco, S., Bluman, G. & Wolf, T. Acta Appl Math (2008) 101: 21. doi:10.1007/s10440-008-9205-7
- 85 Downloads
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.