A theorem providing necessary conditions enabling one to map a nonlinear system of first order partial differential equations to an equivalent first order autonomous and homogeneous quasilinear system is given. The reduction to quasilinear form is performed by constructing the canonical variables associated to the Lie point symmetries admitted by the nonlinear system. Some applications to relevant partial differential equations are given.

Nonlinear first order partial differential equations reducible to first order homogeneous and autonomous quasilinear ones

Gorgone, Matteo
Primo
;
OLIVERI, Francesco
Ultimo
2017-01-01

Abstract

A theorem providing necessary conditions enabling one to map a nonlinear system of first order partial differential equations to an equivalent first order autonomous and homogeneous quasilinear system is given. The reduction to quasilinear form is performed by constructing the canonical variables associated to the Lie point symmetries admitted by the nonlinear system. Some applications to relevant partial differential equations are given.
2017
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11570/3090929
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