Generalized self-dual Maxwell-Chern-Simons-Higgs model
  We present a consistent BPS framework for a generalized Maxwell-Chern-Simons-Higgs model. The overall model, including its self-dual potential, depends on three different functions, h(|{\phi}|,N), w(|{\phi}|) and G(|{\phi}|), which are functions of the scalar fields only. The BPS energy is proportional to the magnetic flux when w(|{\phi}|) and G(|{\phi}|) are related to each other by a differential constraint. We present an explicit non-standard model and its topologically non-trivial static configurations, which are described by the usual radially symmetric profile. Finally, we note that the non-standard results behave in a similar way as their standard counterparts, as expected, reinforcing the consistence of the overall construction. 
D. Bazeia, R. Casana, E. da Hora and R. Menezes
hep-th