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We investigate the spectrum of the gauge theory with Chern-Simons term on thenoncommutative plane, a modification of the description of the Quantum Hallfluid recently proposed by Susskind. We find a series of the noncommutativemassive ``plane wave'' solutions with polarization dependent on the magnitudeof the wave-vector. The mass of each branch is fixed by the quantizationcondition imposed on the coefficient of the noncommutative Chern-Simons term.For the radially symmetric ansatz a vortex-like solution is found andinvestigated. We derive a nonlinear difference equation describing thesesolutions and we find their asymptotic form. These excitations should berelevant in describing the Quantum Hall transitions between plateaus and theend transition to the Hall Insulator.Comment: 17 pages, LaTeX (JHEP), 1 figure, added references, version accepted  to JHE

On plane wave and vortex-like solutions of noncommutative Maxwell-Chern-Simons theory