Conserved quantities in the noncommutative principal chiral model with Wess Zumino term

We construct a noncommutative extension of the U(N) principal chiral model with Wess?Zumino term and obtain an infinite set of local and non-local conserved quantities for the model using the iterative procedure of Brezin et al (1979 Phys. Lett. B 82 442). We also present the equivalent description as a Lax formalism of the model. We expand the fields perturbatively and derive zeroth- and first-order equations of motion, zero-curvature condition, iteration method, Lax formalism, local and non-local conserved quantities.