Brazilian Journal of Physics ( IF 1.5 ) Pub Date : 2021-01-13 , DOI: 10.1007/s13538-020-00836-w Wesley Bueno Cardoso , Ardiley Torres Avelar , Dionisio Bazeia
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.
中文翻译:
孤子在准周期非线性耦合波导中的传播
本文是对Mahir Saleh Hussein教授的致敬。它的灵感来自于我们在Cardoso等人的合作中发表的两篇作品。(物理通讯阿374,2356 2010,374,4594,2010)。在这里,我们研究孤子在非线性耦合波导中的传播,该非线性耦合波导由耦合非线性Schrödinger方程描述。在特定情况下,这些耦合方程的行为就像一个称为Manakov模型的可完全积分的非线性系统。我们通过合并允许更改系统非线性的组件来引入准周期非线性耦合,并研究准周期非线性如何修改解的行为。