Faridi Waqas Ali, Asjad Muhammad Imran, Toseef Muhammad, Amjad Taha
Department of Mathematics, University of Management and Technology, Lahore, Pakistan.
Department of Mathematics, Government College University Lahore, Lahore, Pakistan.
Opt Quantum Electron. 2022;54(12):773. doi: 10.1007/s11082-022-04179-5. Epub 2022 Sep 29.
The wave propagation has the significant role in the field of coastal engineering and ocean. In the geographical fields, waves are primary source of environmental process owed to energy conveyance on floating structure. This study aims to investigate the system of cold bosonic atoms in zig-zag optics lattices. The solitonic patterns of the considered model successfully surveyed by using two integrated analytical techniques new extended direct algebraic and expansion method. The exact solutions are presented by rational, trigonometric, hyperbolic and exponential functions. On the basis of solitons, we need to show that which one is more integrated and robust scheme. These solutions will help to understood the dynamics of cold bosonic atoms in zig-zag optical lattices and the several other systems. Three dimensional as well as two dimensional comparison presented for a cold bosonic atoms model solutions which are revealed diagrammatically for appropriate parameters by using Mathematica. This study will help physicists to predict some new hypothesis and theories in the field of mathematical physics.
波传播在海岸工程和海洋领域具有重要作用。在地理领域，由于能量在浮动结构上的传输，波浪是环境过程的主要来源。本研究旨在研究锯齿形光学晶格中的冷玻色子原子系统。通过使用两种新的积分分析技术——新扩展直接代数法和展开法，成功研究了所考虑模型的孤子模式。精确解由有理函数、三角函数、双曲函数和指数函数给出。基于孤子，我们需要展示哪种方案更具整体性和鲁棒性。这些解将有助于理解锯齿形光学晶格中冷玻色子原子以及其他几个系统的动力学。通过使用Mathematica，针对冷玻色子原子模型解给出了三维和二维比较，并针对适当参数以图表形式展示。这项研究将帮助物理学家在数学物理领域预测一些新的假设和理论。
