2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/218274Various shock and rarefaction-type similarity solutions of the third-order nonlinear dispersion equation in 1D are constructed. Blow-up of some solutions are proved by different techniques.32 pages, 12 figuresAnalysis of PDEs35K55, 35K65Third-order nonlinear dispersion PDEs: shocks, rarefaction, and blow-up wavestext