2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/56976We use a multi-scale similarity analysis which gives specific relations between the velocity, amplitude and width of localized solutions of nonlinear differential equations, whose exact solutions are generally difficult to obtain.12 Pages, latex, To be published in Int. J. Comp. Math. SimMathematical PhysicsAnalysis of PDEs34A34; 34G20; 35Q51; 35Q53; 35Q55text