2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/146919We study the large time behavior of solutions to the dissipative Korteweg-de Vrie equations $u_t+u_{xxx}+|D|^αu+uu_x=0$ with $0<α<2$. We find $v$ such that $u-v$ decays like $t^{-r(α)}$ as $t\to\infty$ in various Sobolev norm.Analysis of PDEs35Q53, 35B40text