BPS solutions to a generalized Maxwell-Higgs model

We look for topological BPS solutions of an Abelian Maxwell-Higgs theory endowed by non-standard kinetic terms to both gauge and scalar fields. Here, the non-usual dynamics are controlled by two positive functions, G(vertical bar phi vertical bar) and w(vertical bar phi vertical bar), which are related to the self-dual scalar potential V (vertical bar phi vertical bar) of the model by a fundamental constraint. The numerical results we found present interesting new features, and contribute to the development of the recent issue concerning the study of generalized models and their applications.