Partial and complete linearization of PDEs based on conservation laws

Details Partial and complete linearization of PDEs based on conservation laws Partial and complete linearization of PDEs based on conservation laws

2005-01-17

arxiv.org/abs/nlin/0501034v1

in: Trends in Mathematics: Differential Equations with Symbolic Computation, p. 291-306, Birkhaeuser Verlag Basel/Switzerland,

Nonlinear Sciences

Exactly Solvable and Integrable Systems

17 pages

Scientific paper

A method based on infinite parameter conservation laws is described to factor linear differential operators out of nonlinear partial differential equations (PDEs) or out of differential consequences of nonlinear PDEs. This includes a complete linearization to an equivalent linear PDE (-system) if that is possible. Infinite parameter conservation laws can be computed, for example, with the computer algebra package ConLaw.

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