Generalized noninteracting vortices

The Abelian Higgs model allows noninteracting multivortex solutions for a special choice of coupling constant. We show that more general noninteracting vortices are permitted in models with a general scalar interaction $V\left(\phi \right)$, provided that the kinetic term for the scalar fields in the Lagrangian is suitably modified. We discuss properties of the general system and show that the static field equations are solved by a single nonlinear partial differential equation.