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

Related Articles

Fractional power series method for solving fractional differemtial equation

we use fractional power series method (FPSM) to solve some linear or nonlinear fractional differential equations . Compared to the other method, the FPSM is more simple, derect and effective.

ON SOME CONCEPTS RESPECT TO WEAK STRUCTURES

In this paper, we use the concept of a weak structure to introduce some new concepts such as sub weak structure, separation, connectedness and sub connected space. Furthermore, investigate some theorems with their proofs...

Properties of Derivations on KU-ALGEBRAS

In this paper the notion of (l, r) ( or (r,l) ) -derivations and t-derivation of a KU-algebra are introduced, and some related properties are investigated. Also, we consider regular derivations and the D-invariant o...

COMMON FIXED POINT THEOREM FOR A PAIR OF WEAKLY COMPATIBLE SELF-MAPPINGS IN FUZZY METRIC SPACE USING (CLRG) PROPERTY

In this paper we prove a common fixed point theorem for a pair of weakly compatible self-mappings in fuzzy metric space by using (CLRg) property. The result is extended for two finite families of self-mappings...

Distance Ratio Metric on the Unit Disk

We prove Lipschitz continuity of arbitrary analytic mapping f : D --> D regarding the distance ratio metric with the Lipschitz constant C = 2. This represents a generalization for the unit disk domain of Gehring - Pal...

Download PDF file
  • EP ID EP651709
  • DOI 10.24297/jam.v12i10.119
  • Views 224
  • 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