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Several interacting models of chiral bosons and gauge fields are investigatedon the noncommutative extended Minkowski spacetime which was recently proposedfrom a new point of view of disposing noncommutativity. The models include thebosonized chiral Schwinger model, the generalized chiral Schwinger model (GCSM)and its gauge invariant formulation. We establish the Lagrangian theories ofthe models, and then derive the Hamilton's equations in accordance with theDirac's method and solve the equations of motion, and further analyze theself-duality of the Lagrangian theories in terms of the parent action approach.

Interacting Theory of Chiral Bosons and Gauge Fields on Noncommutative Extended Minkowski Spacetime