Baboucarr Ceesay, Nauman Ahmed, Jorge E. Macías-Díaz
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引用次数: 0
Abstract
This study examines the effects of various M-shaped water wave shapes on coastal environments for the modified regularized long-wave equation (MRLWE). This work explores the complex dynamics of sediment transport, erosion, and coastal stability influenced by different wave structures using the Hirota bilinear transformation as a basic analytical tool. By providing insightful information about how these wave patterns impact coastal stability, it seeks to broaden our knowledge of dynamic coastlines. As we explore the intricate interactions between water waves and beaches, the knowledge gained from this research could help direct sustainable coastal management and preservation initiatives. For convenience, a range of M-shaped wave structures are depicted, demonstrating the adaptability of the Hirota bilinear transformation approach in recognizing novel wave patterns. Overall, this work contributes to a better understanding of the dynamics of the coastal environment, highlights the wide range of applications for mathematical models in science and engineering, and helps to develop more sensible and practical coastal management and conservation strategies for the protection of coastal areas against changing water wave patterns. Finally, as far as the authors could verify, this is the first work in the literature in which M-shaped soliton solutions are derived for the MRLWE using any method.
本研究考察了修正正则化长波方程(MRLWE)中各种 M 型水波形状对沿岸环境的影响。这项研究以 Hirota 双线性变换为基本分析工具,探讨了不同波浪结构对沉积物输运、侵蚀和沿岸稳定性的复杂动态影响。通过提供有关这些波浪模式如何影响海岸稳定性的有洞察力的信息,它试图拓宽我们对动态海岸线的认识。在我们探索水波与海滩之间错综复杂的相互作用时,从这项研究中获得的知识有助于指导可持续的海岸管理和保护措施。为方便起见,我们描绘了一系列 M 型波浪结构,展示了 Hirota 双线性变换方法在识别新颖波浪模式方面的适应性。总之,这项工作有助于更好地理解沿岸环境的动态变化,突出了数学模型在科学和 工程领域的广泛应用,有助于制定更加合理和实用的沿岸管理和保护战略,以保护沿岸地 区免受不断变化的水波模式的影响。最后,据作者考证,这是文献中首次用任何方法推导出 MRLWE 的 M 形孤子解。
期刊介绍:
Open Physics is a peer-reviewed, open access, electronic journal devoted to the publication of fundamental research results in all fields of physics. The journal provides the readers with free, instant, and permanent access to all content worldwide; and the authors with extensive promotion of published articles, long-time preservation, language-correction services, no space constraints and immediate publication. Our standard policy requires each paper to be reviewed by at least two Referees and the peer-review process is single-blind.