Lie Symmetries and Preliminary Classification of Group-Invariant Solutions of Thomas equation

Details Lie Symmetries and Preliminary Classification of Group-Invariant Solutions of Thomas equation Lie Symmetries and Preliminary Classification of Group-Invariant Solutions of Thomas equation

2004-12-14

arxiv.org/abs/math-ph/0412043v2

Physics

Mathematical Physics

18 pages, 3 tables. Final version

Scientific paper

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.

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