%0 Journal Article %T Analytical Approach of the Nonlinear Surface Plasmon at a Left-Handed Material %A Majdi S. Hamada %A Ali H. El-Astal %A Mahmoud A. Sbiah %A Mohammed M. Shabat %J Journal of Applied Mathematics and Physics %P 673-679 %@ 2327-4379 %D 2015 %I Scientific Research Publishing %R 10.4236/jamp.2015.36080 %X The surface wave dispersion relations of surface Plasmon at the interface of a left-handed material and a non-linear Kerr medium of arbitrary nonlinearity are derived based on a generalized first integral approach. The normalized power flow is also investigated for various values of frequency. The above study is conducted for both cases: self-focusing (α≺0) and de-focusing (α≻0) nonlinear Kerr coefficient. %K Left-Handed Materials %K Nonlinearity %K Dispersion Relation %K Power Flow %U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=57408