We study the dynamics of compacton light beams in a weakly nonlocal nonlinear medium with concurrent nonlocality. This study, which is analytical and numerical, focuses on the propagation, stability and interaction of these optical beams. We show that in the absence of diffraction, compacton beams propagate in a stable manner. When diffraction is taken into account, the dynamics of the propagation of compacton beams shows a restructuring of the beam which leads respectively, depending on the order of magnitude of the diffraction and/or the power, to breathing compacton and peakons. The study of the interaction between these optical beams shows us that in the absence of diffraction, the compacton light beams do not interact. On the other hand, in the presence of diffraction, it shows that a defocusing quintic nonlocality generates a repulsive force between the light beams. In addition, it attenuates the effects induced by diffraction. Study of collision reveals that quintic nonlocality increases collision distance while diffraction reduces it.

中文翻译：

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竞争非线性下弱局部非线性介质中 compacton 的动力学研究


我们研究了具有并发非局域性的弱局部非线性介质中 compacton 光束的动力学。这项研究是分析和数值研究，侧重于这些光束的传播、稳定性和相互作用。我们表明，在没有衍射的情况下，compacton 光束以稳定的方式传播。当考虑衍射时，压实子光束传播的动力学表明光束的重组，根据衍射和/或功率的数量级，分别导致呼吸压实子和峰值。对这些光束之间相互作用的研究表明，在没有衍射的情况下，compacton 光束不会相互作用。另一方面，在存在衍射的情况下，它表明散焦五次非局域性在光束之间产生排斥力。此外，它还会减弱衍射引起的效应。碰撞研究表明，五次非局域性会增加碰撞距离，而衍射会缩短碰撞距离。