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A coupled Toda equation and its related equation are derived from 3-coupled bilinear equations. The corresponding Backlund transformation and nonlinear superposition formula are presented for the 3-coupled bilinear equations. As an application of the results, solition solutions are derived. Besides, starting from the bilinear BT, Lax pairs for these two differential-difference systems are obtained.

An Integrable Coupled Toda Equation And Its Related Equation Via Hirota's Bilinear Approach