论文标题
在耦合的非线性Schrödinger系统中具有四波混合效果的工程流氓波浪和呼吸器
Engineering Optical Rogue Waves and Breathers in a Coupled Nonlinear Schrödinger System with Four-Wave Mixing Effect
论文作者
论文摘要
我们考虑具有调制自相度调制，跨相调节和四波混合非线性的非线性schrödinger方程相干的非线性schrödinger方程，并在各向异性分级指数非线性培养基中具有不同的折射率。通过识别适当的相似性转换，我们获得了一般的局部波解，并使用适当的调制非线性进行了研究。特别是，我们的研究揭示了局部波浪的不同表现，例如稳定的孤子，Akhmedieev呼吸器，MA呼吸器和明亮，明亮的黑暗和深色羽状类型的流氓波浪，并使用适当设计的非线性参数探索了他们的操纵机制。我们提供了具有足够图形演示的分类分析。
We consider a coherently coupled nonlinear Schrödinger equation with modulated self-phase modulation, cross-phase modulation, and four-wave mixing nonlinearities and varying refractive index in anisotropic graded index nonlinear medium. By identifying an appropriate similarity transformation, we obtain a general localized wave solution and investigate their dynamics with a proper set of modulated nonlinearities. In particular, our study reveals different manifestations of localized waves such as stable solitons, Akhmediev breathers, Ma breathers, and rogue waves of bright, bright-dark, and dark-dark type and explores their manipulation mechanism with suitably engineered nonlinearity parameters. We have provided a categorical analysis with adequate graphical demonstrations.
