2023-11-282023-11-282017CARDOSO, Wesley B. et al. Modulation of localized solutions in quadratic-cubic nonlinear Schrödinger equation with inhomogeneous coefficients. Communications in Nonlinear Science and Numerical Simulation, Amsterdam, v. 48, p. 474-483, 2017. DOI: 10.1016/j.cnsns.2017.01.012. Disponível em: https://www.sciencedirect.com/science/article/pii/S1007570417300114. Acesso em: 13 set. 2023.1007-5704e- 1878-7274https://www.sciencedirect.com/science/article/pii/S1007570417300114We study the presence of exact localized solutions in a quadratic-cubic nonlinear Schrödinger equation with inhomogeneous nonlinearities. Using a specific ansatz, we transform the nonautonomous nonlinear equation into an autonomous one, which engenders composed states corresponding to solutions localized in space, with an oscillating behavior in time. Direct numerical simulations are employed to verify the stability of the modulated solutions against small random perturbations.engAcesso RestritoNonlinear Schrödinger equationQuadratic-cubic nonlinearitySolitonsInhomogeneous mediumArtigo10.1016/j.cnsns.2017.01.012