Lie's Symmetries of (2+1)dim PDE

S. Padmasekaran S. Rajeswari

doi:https://doi.org/10.14445/22315373/IJMTT-V51P553

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 51 | Number 6 | Year 2017 | Article Id. IJMTT-V51P553 | DOI : https://doi.org/10.14445/22315373/IJMTT-V51P553

Lie's Symmetries of (2+1)dim PDE

S. Padmasekaran S. Rajeswari

Citation :

S. Padmasekaran S. Rajeswari, "Lie's Symmetries of (2+1)dim PDE," International Journal of Mathematics Trends and Technology (IJMTT), vol. 51, no. 6, pp. 381-390, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V51P553

Abstract

In this paper we apply Lie's Classical Method to a (2+1) dimensional PDE equation to identify all possible solution for which this equation admits an exact solution and we obtain Lie algebra of infinitesimal symmetries is spanned by the six vector fields. We conclude that there is an infinite group of point transformations are invariant using invariant form method.We obtained local symmetry classifications.

Keywords

Lie Group Transformation, Transform Methods, Lie Classical Method , Symmetries and Invariant.

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