AbstractAs I briefly review, the sine‐Gordon model may be obtained by dimensional and algebraic reduction from 2+2 dimensional self‐dual U(2) Yang‐Mills through a 2+1 dimensional integrable U(2) sigma model. I argue that the noncommutative (Moyal) deformation of this procedure should relax the algebraic reduction from U(2) → U(1) to U(2) → U(1) × U(1). The result are novel noncommutative sine‐Gordon equations for a pair of scalar fields. The dressing method is outlined for constructing its multi‐soliton solutions. Finally, I look at tree‐level amplitudes to demonstrate that this model possesses a factorizable and causal S‐matrix in spite of its time‐space noncommutativity.