Propagation of solitons in quasi-periodic nonlinear coupled waveguides

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2021

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This paper is a tribute to Professor Mahir Saleh Hussein. It is motivated by two works which we published in collaboration in Cardoso et al. (Phys. Lett. A 374, 2356 2010, 374, 4594 2010). Here, we study the propagation of solitons in nonlinear coupled waveguides described by coupled nonlinear Schrödinger equations. In a specific case, these coupled equations behave as an exactly integrable nonlinear system known as the Manakov model. We introduce quasi-periodic nonlinear couplings by merging the components that allow changing the nonlinearities of the system, and study how the quasi-periodic nonlinearities modify the behavior of the solutions.

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Manakov system, Solitons, Quasi-periodic interactions

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CARDOSO, Wesley Bueno; AVELAR, Ardiley Torres; BAZEIA, Dionisio. Propagation of solitons in quasi-periodic nonlinear coupled waveguides. Brazilian Journal of Physics, São Paulo, v. 51, p. 151-156, 2021. DOI: 10.1007/s13538-020-00836-w. Disponível em: https://link.springer.com/article/10.1007/s13538-020-00836-w. Acesso em: 13 set. 2023.