Perturbed nonlinear models from Noncommutativity
  By means of the Ehrenfest's Theorem inside the context of a noncommutative Quantum Mechanics it is obtained the Newton's Second Law in noncommutative space. Considering discrete systems with infinite degrees of freedom whose dynamical evolutions are governed by the noncommutative Newton's Second Law we have constructed some alternative noncommutative generalizations of two-dimensional field theories. 
I.Cabrera-Carnero, L. Alejandro Correa-Borbonet, G. C. S. Valadares