Group analysis and variational principle for nonlinear (3+1) schrodinger equation

Eman Salem A. Alaidarous

Department of Mathematics, Faculty of Science, King Abdul Aziz University, P.O. Box 80203, Jeddah 21589, (Saudi Arabia).

Received on April 15, 2010 and accepted on May 24, 2010

ABSTRACT

The generators of the admitted variational Lie symmetry groups are derived and conservation laws for the conserved currents are obtained via Noether‘s theorem. Moreover, the consistency of a functional integral are derived for the nonlinear Schrödinger equation. In addition to this analysis functional integral are studied using Lie groups.

Keywords : Nonlinear (3+1) schrodinger equation, Noether‘s theorem, Lie groups.