Self-phase modulation (SPM) induces a varying refractive index of the medium due to the optical Kerr effect. The optical waves propagation (OWP) in a medium with SPM occupied a remarkable area of research in the literature. A model equation to describe OWP in the absence of SPM was proposed very recently by Biswas–Arshed equation (BAE). This work is based on constructing the solutions that describe the waves which arise from soliton-periodic wave collisions. A variety of geometric optical wave structures are observed. Here, a transformation that allows to investigate the multi-geometric structures of OW’s result from soliton-periodic wave collisions is introduced. Chirped, conoidal, breathers, diamond and W-shaped optical waves are shown to propagate in the medium in the absence of SPM. The exact solutions of BAE are obtained by using the unified method, which was presented recently. We mention that the results found here, are completely new.

中文翻译：

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啁啾、呼吸、菱形和 W 形光波在非自相位调制介质中的传播。Biswas-Arshed 方程

由于光学克尔效应，自相位调制 (SPM) 会导致介质的折射率发生变化。具有 SPM 的介质中的光波传播 (OWP) 在文献中占据了显着的研究领域。Biswas-Arshed 方程 (BAE) 最近提出了一个在没有 SPM 的情况下描述 OWP 的模型方程。这项工作基于构建描述由孤子-周期波碰撞产生的波的解决方案。观察到各种几何光波结构。在这里，介绍了一种允许研究 OW 由孤子-周期波碰撞产生的多几何结构的变换。啁啾、圆锥、呼吸、菱形和 W 形光波显示在没有 SPM 的情况下在介质中传播。BAE的精确解是利用最近提出的统一方法得到的。我们提到这里发现的结果是全新的。