2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/218282Third-order nonlinear dispersion equations (NDEs) are shown to admit both shock and rarefaction waves (as weak solutions), which are distinguished by a smooth deformation approach. Compacton-type travelling wave solutions are proved to be both delta-entropy and G-admissible (in the sense of I.M. Gel'fand, 1963). Extensions to some higher-order NDEs are performed.39 pages, 17 figuresAnalysis of PDEs35K55, 35K65text