Nonlinear first order partial differential equations reducible to first order homogeneous and autonomous quasilinear ones
Mathematical Physics
2021-08-02 v1 math.MP
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.
Keywords
Cite
@article{arxiv.2107.14671,
title = {Nonlinear first order partial differential equations reducible to first order homogeneous and autonomous quasilinear ones},
author = {Matteo Gorgone and Francesco Oliveri},
journal= {arXiv preprint arXiv:2107.14671},
year = {2021}
}
Comments
16 pages, no figures