Lie Symmetries and Preliminary Classification of Group-Invariant Solutions of Thomas equation
Mathematical Physics
2007-05-23 v2 math.MP
Abstract
Using the basic prolongation method and the infinitesimal criterion of invariance, we find the most general Lie point symmetries group of the Thomas equation. Looking the adjoint representation of the obtained symmetry group on its Lie algebra, we will find the preliminary classification of its group-invariant solutions. This latter provides a new exact solutions for the Thomas equation.
Keywords
Cite
@article{arxiv.math-ph/0412043,
title = {Lie Symmetries and Preliminary Classification of Group-Invariant Solutions of Thomas equation},
author = {A. Ouhadan and E. H. El Kinani},
journal= {arXiv preprint arXiv:math-ph/0412043},
year = {2007}
}
Comments
18 pages, 3 tables. Final version