Department of Mathematics, Comilla University, Cumilla, Bangladesh.
Department of Mathematics, University of Rajshahi, Rajshahi, Bangladesh.
PLoS One. 2023 Sep 11;18(9):e0291071. doi: 10.1371/journal.pone.0291071. eCollection 2023.
In this investigation, we apply the improved Kudryashov, the novel Kudryashov, and the unified methods to demonstrate new wave behaviors of the Fokas-Lenells nonlinear waveform arising in birefringent fibers. Through the application of these techniques, we obtain numerous previously unreported novel dynamic optical soliton solutions in mixed hyperbolic, trigonometric, and rational forms of the governing model. These solutions encompass periodic waves with W-shaped profiles, gradually increasing amplitudes, rapidly increasing amplitudes, double-periodic waves, and breather waves with symmetrical or asymmetrical amplitudes. Singular solitons with single and multiple breather waves are also derived. Based on these findings, we can say that our implemented methods are more reliable and useful when retrieving optical soliton results for complicated nonlinear systems. Various potential features of the derived solutions are presented graphically.
在这项研究中，我们应用改进的 Kudryashov 方法、新颖的 Kudryashov 方法和统一方法，展示了双折射光纤中出现的 Fokas-Lenells 非线性波形的新波行为。通过应用这些技术，我们获得了大量以前未报道过的新的混合双曲、三角函数和有理形式的控制模型的动态光孤子解。这些解包括具有 W 形轮廓、逐渐增大幅度、快速增大幅度、双周期波以及具有对称或不对称幅度的呼吸子波的周期性波。还推导出了具有单个和多个呼吸子波的奇异孤子。基于这些发现，我们可以说，在为复杂的非线性系统检索光孤子结果时，我们实现的方法更加可靠和有用。图形显示了推导解的各种潜在特征。
