The (2+1) dimensional non-linear electrodynamics, the so called Pagels--Tomboulis electrodynamics, with the Chern--Simons term is considered. We obtain ``generalised self-dual equation'' and find the corresponding generalised massive Chern--Simons Lagrangian. Similar results for (2+1) massive dilaton electrodynamics have been obtained.
PACS numbers: 11.10.Lm, 11.15.Tk
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