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arXiv · 0712.1835

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

Stephen C. Anco·George Bluman·Thomas Wolf
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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.

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Stephen C. Anco, George Bluman, Thomas Wolf. 2008-01-26. Invertible Mappings of Nonlinear PDEs to Linear PDEs Through Admitted Conservation Laws. https://arxiv.org/abs/0712.1835

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