2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/57158For an integrable shallow water equation we describe a geometrical approach showing that any two nearby fluid configurations are successive states of a unique flow minimizing the kinetic energy.arXiv version is already officialMathematical PhysicsAnalysis of PDEsLeast action principle for an integrable shallow water equationtext