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