publication . Preprint . 2004

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

Ouhadan, A.; Kinani, E. H. El;
Open Access English
  • Published: 14 Dec 2004
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.
free text keywords: Mathematical Physics, 70G65, 58K70, 34C14
Download from

[1] Olver P.J, Application of Lie groups to Differential Equation, Springer, New York 1986.

[2] Stephani H, Differential equations: Their Solution Using Symmetries, Cambridge University Press, 1989.

[3] Bluman G.W and Kumei, Symmetries and Differentials Equations, Springer, New York 1989.

[4] Ibragimov N.H, CRC Handbook of Lie Group Analysis of Differential Equation, CRC Press, Boca Raton, 1986.

[5] Rodr´iguez M.A. and Winternitz. P, J.PhysA:Maths.Gen 37(2004) and the references quoted therien. [OpenAIRE]

[6] Lie S and Engel F, Theories der Tranformation gruppen Vol.39 (Leipzig Teubner) 1890.

[7] Wong W.T. and Fung P.C.W, Linuo cimento Vol.99B 1987.163.

[8] Zheng K et al., Physica Scripta Vol.40 1989, 705.

[9] Sakovich S.Yu, Journal Physiacs A: Maths.and Gen.21 1988,L1123

[10] Guang-Mei.W et al., Gechoslovok Journal of Physics Vol.52 2002, 749.

[11] Zhenya Y, Gechoslovok Journal of Physics Vol.53 2003, 298.

[12] Thomas H.C Journal American Chemistry. Soc.66 1944, 16 64.

[13] A.Ouhadan and E.H . El Kinani, in preparation.

Powered by OpenAIRE Open Research Graph
Any information missing or wrong?Report an Issue