2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/114342We investigate the integrability of a class of 1+1 dimensional models describing nonlinear dispersive waves in continuous media, e.g. cylindrical compressible hyperelastic rods, shallow water waves, etc. The only completely integrable cases coincide with the Camassa-Holm and Degasperis-Procesi equations.8 pagesExactly Solvable and Integrable Systemstext