Symmetry-based algorithms to relate partial differential equations. II: Linearization by nonlocal symmetries. (English) Zbl 0718.35004

[For part I see ibid., 189-216 (1990; Zbl 0718.35003).]
An algorithm is presented to linearize nonlinear partial differential equations by non-invertible mappings. The algorithm depends on finding nonlocal symmetries of the given equations which are realized as appropriate local symmetries of a related auxiliary system. Examples include the Hopf-Cole transformation and the linearizations of a nonlinear heat conduction equation, a nonlinear telegraph equation, and the Thomas equations.
Reviewer: G.W.Bluman


35A30 Geometric theory, characteristics, transformations in context of PDEs
35G20 Nonlinear higher-order PDEs
35K55 Nonlinear parabolic equations


Zbl 0718.35003
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