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The quasi-one-dimensional rhombic array of the waveguides is considered. Inthe nonlinear case the system of equations describing coupled waves in thewaveguides has the solutions that represent the superposition of the flat bandmodes. The property of stability of these solutions is considered. It was foundthat the flat band solution is unstable until the power threshold be attained.

On Stability of Flat Band Modes in a Rhombic Nonlinear Optical Waveguide Array