2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/104682Although it is well known that the Seiberg-Witten equations do not admit nontrivial $L^2$ solutions in flat space, singular solutions to them have been previously exhibited -- either in $R^3$ or in the dimensionally reduced spaces $R^2$ and $R^1$ -- which have physical interest. In this work, we employ an extension of the Hopf fibration to obtain an iterative procedure to generate particular singular solutions to the Seiberg-Witten and Freund equations on flat space. Examples of solutions obtained by such method are presented and briefly discussed.7 pages, minor changes. To appear in J. Math. PhysMathematical PhysicsHigh Energy Physics - TheoryExactly Solvable and Integrable Systemstext