共形科尔莫戈罗夫-彼得罗夫斯基-皮斯库诺夫方程中 Kink Solitons 的动力学行为

IF 16.4 1区 化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2024-08-27 DOI:10.1007/s12346-024-01119-4
Ikram Ullah, Kamal Shah, Thabet Abdeljawad, Mohammad Mahtab Alam, Ahmed S. Hendy, Shoaib Barak
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引用次数: 0

摘要

本研究介绍了广义新扩展直接代数法(gNEDAM),用于在可共形科尔莫戈罗夫-彼得罗夫斯基-皮斯库诺夫方程(CKPPE)的框架内产生和检验扭结孤子解的传播,其中考虑到了可共形分数导数。在本研究中采用保形导数的主要理由是其符合链式规则的特殊能力,允许在求解非线性模型时使用。CKPPE 是数学生物学、反应扩散机制和人口增长等多个学科的重要模型。本文提出的 gNEDAM 将 CKPPE 转化为非线性常微分方程,并通过应用串联形式求解找到了许多扭结孤子解。这些扭结孤子解揭示了 CKPPE 模型框架内的传播机制。此外,我们的研究还提供了多种图形描述,便于检查和分析已识别的扭结孤子解的传播模式。通过整合数学生物学和反应扩散原理,我们的研究拓宽了我们对各学术领域复杂现象的理解。
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Dynamics Behaviours of Kink Solitons in Conformable Kolmogorov–Petrovskii–Piskunov Equation

The current study introduces the generalised New Extended Direct Algebraic Method (gNEDAM) for producing and examining propagation of kink soliton solutions within the framework of the Conformable Kolmogorov–Petrovskii–Piskunov Equation (CKPPE), which entails conformable fractional derivatives into account. The primary justification around employing conformable derivatives in this study is their special ability to comply with the chain rule, allowing for in the solution of aimed nonlinear model. The CKPPE is a crucial model for a number of disciplines, such as mathematical biology, reaction-diffusion mechanisms, and population increase. CKPPE is transformed into a Nonlinear Ordinary Differential Equation by the proposed gNEDAM, and many kink soliton solutions are found by applying the series form solution. These kink soliton solutions shed light on propagation mechanisms within the framework of the CKPPE model. Furthermore, our research offers multiple graphical depictions that facilitate the examination and analysis of the propagation patterns of the identified kink soliton solutions. Through the integration of mathematical biology and reaction-diffusion principles, our research broadens our comprehension of intricate occurrences in various academic domains.

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来源期刊
Accounts of Chemical Research
Accounts of Chemical Research 化学-化学综合
CiteScore
31.40
自引率
1.10%
发文量
312
审稿时长
2 months
期刊介绍: Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.
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