ROMANIAN JOURNAL OF PHYSICS, cilt.57, ss.545-554, 2012 (SCI İndekslerine Giren Dergi)
We study the chiral nonlinear Schrodinger's equation with Bohm potential by analyzing an equivalent system of nonlinear partial differential equations from the Lie symmetry point of view. These system of equations are obtained by decomposing the underlying equation into real and imaginary components. The Lie point symmetry generators of the system of equations with respect to zero and non zero values of the coefficient of the Bohm potential are obtained. The optimal system of one-dimensional subalgebras of the Lie symmetry algebra of the system in each of the two cases are used to reduce the system of equations to a system of nonlinear first and second-order ordinary differential equations. Exact group-invariant solutions to the system of equations are constructed from the reduced system of ordinary differential equations.