On the classification of 2 (1 )n n   ï€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
Left fixed maps and a-derivations of a KU-algebra
In This paper, we introduce the concept of a left fixed map in a KU-algebra and we discuss some related properties of this concept. Moreover, we study the notion of leftright (resp., right-left) -derivation in a KU...
Branch and Bound Method to Solve Multiple Objective Function
This paper presents a branch and bound algorithm for sequencing a set of n jobs on a single machine to minimize multiobjective: total cost of flow time, maximum earliness and sum of tardy jobs, when the jobs may have une...
Approximation to the Mean and Variance of the Modified Moments Estimator of the Shape Parameter of Weibull Distribution
In this paper we consider the Weibull distribution of two parameters , since has been widely used as a model in many areas of applications. Properties of the distribution are introduced . Estimation of the distribution p...
Fast Iterative Solver for the 2-D Convection-Diffusion Equations
In this paper, we introduce the preconditioned Explicit Decoupled Group (EDG) for solving the two dimensional Convection-Diffusion equation with initial and Dirichlet boundary conditions. The purpose of this paper is to...
ALGEBRAIC PROOF IV FERMATS LAST THEOREM
The special case z4 = x4 + y4 is impossible [1]. In view of this fact, it is only necessary to prove, if x, y, z, are relatively prime positive integers, π is an odd prime, zπ = xπ +yπ (In this artic...