2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/56683We construct a definition of the weak solution to KdV type equations with small dispersion admitting the zero dispersion limit for soliton-like solutions. Using this definition, we obtain a system of equations (the limit problem as the dispersion tends to zero) that describes the soliton dynamics.19 ppMathematical PhysicsAnalysis of PDEs35Q51, 35Q53text