Similarity transformations and linearization for a family of dispersionless integrable PDEs
Exactly Solvable and Integrable Systems
2022-08-08 v2 General Relativity and Quantum Cosmology
Mathematical Physics
Analysis of PDEs
math.MP
Abstract
We apply the theory of Lie point symmetries for the study of a family of partial differential equations which are integrable by the hyperbolic reductions method and are reduced to members of the Painlev\'{e} transcendents. The main results of this study is that from the application of the similarity transformations provided by the Lie point symmetries all the members of the family of the partial differential equations are reduced to second-order differential equations which are maximal symmetric and can be linearized.
Keywords
Cite
@article{arxiv.2208.02602,
title = {Similarity transformations and linearization for a family of dispersionless integrable PDEs},
author = {Andronikos Paliathanasis},
journal= {arXiv preprint arXiv:2208.02602},
year = {2022}
}
Comments
15 pages, no figues