The Cauchy problem for a short-wave equation

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/219435We prove an existence and uniqueness of solution for the Cauchy problem of the simplest nonlinear short-wave equation, $u_{tx}=u-3u^{2}$, with periodic boundary condition.Analysis of PDEsClassical Analysis and ODEsFunctional Analysis34A12; 34A34; 35Q35; 35Q5The Cauchy problem for a short-wave equationtext