2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/58355The problem on the asymptotics for the solution of multidimensional nonlinear Boussinesq equation with respect to a small parameter $\ve$ is considered. The asymptotic expansion of the solution of this problem with respect to $\ve\to0$ for long times $t\sim {\cal O}(\ve^{-2})$ is constructed and justified. The leading terms of the asymptotic solution are defined from the multidimensional nonlinear Schrodinger equation and from the linear homogeneous wave equation.Latex, 11 pagesMathematical PhysicsAnalysis of PDEstext