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arXiv 2608.21331nlin.PSphysics.optics

具有准周期非线性的三个核心耦合波导中局域解的动力学

Dynamics of localized solutions in three core coupled waveguides with quasi-periodic nonlinearity

Bruno M. Miranda, Ardiley T. Avelar, Wesley B. Cardoso, Dionisio Bazeia

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中文总结 AI 辅助

本文研究具有准周期非线性的三个耦合波导系统中的孤子动力学,分析不同调制参数下孤子的演化与行为,揭示其复杂特性,为非线性光学和光子器件应用奠定基础。

中文摘要 AI 辅助

本文研究三个耦合波导系统中局域解(具体为孤子)的行为,其非线性由影响波导间相互作用的准周期调制建模。我们分析了不同调制参数下孤子轮廓及其动力学的演化,强调了孤子间吸引、排斥等不同行为。研究发现,系统呈现的复杂行为取决于准周期调制与波导参数的相互作用。该研究有助于理解准周期非线性对耦合波导系统中孤子动力学的影响,为非线性光学和光子器件的潜在应用奠定基础。

英文摘要

In this paper we investigate the behavior of localized solutions, specifically solitons, in a system of three coupled waveguides. The nonlinearity is modeled by a quasi-periodic modulation influencing the interaction between the waveguides. We analyze the evolution of the soliton profiles and their dynamics under varying modulation parameters, highlighting distinct behaviors such as attraction and repulsion among solitons. Our findings reveal that the system exhibits complex behaviors, depending on the interplay between the quasi-periodic modulation and the waveguide parameters. The study contributes to understanding the impact of quasi-periodic nonlinearity on soliton dynamics in coupled waveguide systems, laying the groundwork for potential applications in nonlinear optics and photonic devices.

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