2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/220618We find explicit solutions for giant magnons and spiky strings on the squashed three dimensional sphere. For a special value of the squashing parameter the solutions describe strings moving in a sector of the conifold, while for another value of the squashing parameter we recover the known results on the round three dimensional sphere. A new feature is that the energy and the momenta enter in the dispersion relation of the conifold in a transcendental way.34 pages, 10 figuresHigh Energy Physics - TheoryGiant magnons and spiky strings on the conifoldtext