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

Details Invertible Mappings of Nonlinear PDEs to Linear PDEs Through Admitted Conservation Laws Invertible Mappings of Nonlinear PDEs to Linear PDEs Through Admitted Conservation Laws

2007-12-11

arxiv.org/abs/0712.1835v2

Acta Appl. Math. 101 (2008), 21-38

Physics

Mathematical Physics

20 pages. Published version to appear in a special issue "Geometric Methods in Differential Equations" of Acta Appl. Math

Scientific paper

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.

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