2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/24589Nonperturbative, oscillatory, winding number one solutions of the Sine-Gordon equation are presented and studied numerically. We call these nonperturbative shape modes {\sl wobble} solitons. Perturbed Sine-Gordon kinks are found to decay to {\sl wobble} solitons.Revised version, journal reference: Journal of physics A 37, 11603 (2004)Other Condensed MatterHigh Energy Physics - TheoryMathematical PhysicsAtomic PhysicsQuantum Physicstext