2023-06-052023-06-052016TEIXEIRA, Rafael M. P.; CARDOSO, Wesley B. Fractal scattering of gaussian solitons in directional couplers with logarithmic nonlinearities. Physics Letters A, Amesterdam, v. 380, p. 2738-2749, 2016. DOI: 10.1016/j.physleta.2016.06.041. Disponível em: https://www.sciencedirect.com/science/article/pii/S0375960116303632?via%3Dihub. Acesso em: 1 jun. 2023.0375-9601e- 1873-2429http://repositorio.bc.ufg.br/handle/ri/22676In this paper we study the interaction of Gaussian solitons in a dispersive and nonlinear media with log law nonlinearity. The model is described by the coupled logarithmic nonlinear Schrödinger equations, which is a nonintegrable system that allows the observation of a very rich scenario in the collision patterns. By employing a variational approach and direct numerical simulations, we observe a fractal scattering phenomenon from the exit velocities of each soliton as a function of the input velocities. Furthermore, we introduce a linearization model to identify the position of the reflection/transmission window that emerges within the chaotic region. This enables us the possibility of controlling the scattering of solitons as well as the lifetime of bound states.engAcesso Abertohttp://creativecommons.org/licenses/by-nc-nd/4.0/Fractal scatteringGaussian solitonsDirectional couplersLogarithmic nonlinearitiesNonlinear Schrödinger equationsArtigohttps://doi.org/10.1016/j.physleta.2016.06.041