On the classification of 2 (1 )n n   dimensional non-linear Klein-Gordon equation via Lie and Noether approach

Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2016, Vol 12, Issue 10

Abstract

A complete group classification for the Klein-Gordon equation is presented. Symmetry generators, up to equivalence transformations, are calculated for each f (u) when the principal Lie algebra extends. Further, considered equation is investigated by using Noether approach for the general case n  2. Conserved quantities are computed for each calculated Noether operator. At the end, a brief conclusion is presented.

Authors and Affiliations

Adil Jhangeer, Fahad Al-Mufadi

Keywords

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  • EP ID EP651709
  • DOI 10.24297/jam.v12i10.119
  • Views 205
  • Downloads 0

How To Cite

Adil Jhangeer, Fahad Al-Mufadi (2016). On the classification of 2 (1 )n n   dimensional non-linear Klein-Gordon equation via Lie and Noether approach. JOURNAL OF ADVANCES IN MATHEMATICS, 12(10), 6720-6727. https://europub.co.uk/articles/-A-651709