GROUP ANALYSIS FOR KLEIN-GORDON EQUATION VIA THEIR SYMMETRIES
By
Kapil Pal¹, V. G. Gupta² and Vatsala Pawar³
¹ Department of Mathematics, Jaipur National University, Jaipur, India-302017
² Department of Mathematics, University of Rajasthan, Jaipur, India-302004
³ Department of Chemistry, Jaipur National University, Jaipur, India-302017
Email: kapilpal@jnujaipur.ac.in, guptavguor@rediffmail.com, vatsalapawar@jnujaipur.ac.in
Corresponding author: Kapil Pal, Email: palkapiljnu@gmail.com
(Received: March 29, 2023; In format : April 04, 2023; Revised : May 24. 2023; Accepted : June 15, 2023)
DOI: https://doi.org/10.58250/jnanabha.2023.53128
Abstract
In the present paper we have obtained the one parameter groups and symmetry transformations associated to the classical symmetries of the Klein-Gordon (KG) equation, we have also constructed an optimal system of two dimensional sub-algebras of the KG equation which provides the preliminary classification of group invariant solutions and yield the most general group invariant solution.
2020 Mathematical Sciences Classification: 17B66, 22E70, 35Q75, 46N50, 70G65, 81R05
Keywords and Phrases: Space Invariance, Translation, Rotation, Hyperbolic Rotation.
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