2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/116753We derive a straightforward variational method to construct embedded soliton solutions of the third-order nonlinear Schödinger equation and analytically demonstrate that these solitons exist as a continuous family. We argue that a particular embedded soliton when perturbed may always relax to the adjacent one so as to make it fully stable.6 pages, 1 figure, submitted to Phys. Rev.AExactly Solvable and Integrable Systemstext