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A generalization of the Chern-Simons-CP(1) model is considered by introducinga nonstandard kinetic term. For a particular case, of this nonstandard kineticterm, we show that the model support self-dual Bogomolnyi equations. The BPSenergy has a bound proportional to the sum of the magnetic flux and the CP(1)topological charge. The self-dual equations are solved analytically andverified numerically.

Self-dual soliton solutions in a Chern-Simons-CP(1) model with a nonstandard kinetic term