2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/164057We present a method to calculate small stationary fluctuations around static solutions describing bound states in a $(1+1)$-dimensional $λϕ^{n+1}$ theory in a finite domain. We also calculate explicitly fluctuations for the $λϕ^4$. These solutions are written in terms of Jacobi Elliptic functions and are obtained from both linear and nonlinear equations. For the linear case we get eingenvalues of a Lamé type Equation and the nonlinear one relies on Hirota's Method.10 pagesHigh Energy Physics - Theorytext