Journal of Nonlinear, Complex and Data Science最新文献

Complexiton and interaction solutions to a specific form of extended Calogero–Bogoyavlenskii–Schiff equation via its bilinear form 通过其双线性形式的扩展卡洛吉罗-博戈亚夫伦斯基-希夫方程特定形式的全复和交互解

Journal of Nonlinear, Complex and Data Science Pub Date : 2024-08-08 DOI: 10.1515/jncds-2024-0029

Sukri Khareng, Ömer Ünsal

引用次数: 0

RANS study of surface roughness effects on ship resistance 表面粗糙度对船舶阻力影响的 RANS 研究

Journal of Nonlinear, Complex and Data Science Pub Date : 2024-06-17 DOI: 10.1515/jncds-2024-0009

Zainab Ali, Gabriella Bognár

{"title":"RANS study of surface roughness effects on ship resistance","authors":"Zainab Ali, Gabriella Bognár","doi":"10.1515/jncds-2024-0009","DOIUrl":"https://doi.org/10.1515/jncds-2024-0009","url":null,"abstract":"Abstract In marine engineering, optimizing the performance of vessels is a key issue, particularly in increasing fuel efficiency, reducing operating costs, and minimizing environmental impact. One of the most critical determinants of vessel efficiency is hull resistance, which directly affects fuel consumption, power requirements, and cruising speed. We aim to investigate how surface roughness affects hull flow resistance, to quantify the drag variation at different surface roughness levels using special wall functions that reproduce boundary layer dynamics. This approach involves the complex interaction between the intricate complexity of roughness and the nonlinear pressure drag effects on the hull. The KVLCC2 ship model is used as a representative prototype in the CFD analysis based on the RANS equations and the k-omega SST model to independently evaluate the roughness effects on individual ship sections. The comparative analysis with empirical data reveals the complex relationship between surface roughness and ship resistance and provides insights for ship design and operational improvement. The study investigates the interaction between drag coefficient and vessel performance to improve hydrodynamic efficiency.","PeriodicalId":516284,"journal":{"name":"Journal of Nonlinear, Complex and Data Science","volume":"8 12","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141335138","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

On the construction of various soliton solutions of two space-time fractional nonlinear models 论两个时空分数非线性模型的各种孤子解的构建

Journal of Nonlinear, Complex and Data Science Pub Date : 2024-05-09 DOI: 10.1515/jncds-2023-0103

K. U. Tariq, Jian-Guo Liu

{"title":"On the construction of various soliton solutions of two space-time fractional nonlinear models","authors":"K. U. Tariq, Jian-Guo Liu","doi":"10.1515/jncds-2023-0103","DOIUrl":"https://doi.org/10.1515/jncds-2023-0103","url":null,"abstract":"\u0000 In this article, we investigate a couple of nonlinear fractional models of eminent interests subsequently the conformable derivative sense is used to designate the fractional order derivatives. The given structures are transformed into nonlinear ordinary differential equations of integer order, and the extended simple equation technique is then employed to solve the resulting equations. Initially, the nonlinear space time fractional Klein–Gordon equation is considered emerging from quantum and classical relativistic mechanics, which have application in plasma physics, dispersive wave phenomena, quantum field theory, and optical fibres. Later, the (2 + 1)-dimensional time fractional Zoomeron equation is analysed which is convenient to explore the innovative phenomena related to boomerons and trappons. As a result, various new soliton solutions are successfully established. The reported results offer a key implementation for analysing the soliton solutions of nonlinear fractional models which are extremely encouraging arising in the recent era of science and engineering. The 3D simulations have been carried out to demonstrate dynamics of the various soliton solutions for a given set of parameters.","PeriodicalId":516284,"journal":{"name":"Journal of Nonlinear, Complex and Data Science","volume":" 26","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140996253","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A spatial model to understand tuberculosis granuloma formation and its impact on disease progression 了解结核病肉芽肿形成及其对疾病进展影响的空间模型

Journal of Nonlinear, Complex and Data Science Pub Date : 2024-03-12 DOI: 10.1515/jncds-2023-0035

Peng Feng

引用次数: 0

A mathematical model to study herbal and modern treatments against COVID-19 研究针对 COVID-19 的草药和现代疗法的数学模型

Journal of Nonlinear, Complex and Data Science Pub Date : 2024-03-11 DOI: 10.1515/jncds-2023-0062

A. J. Ouemba Tassé, B. Tsanou, Cletus Kwa Kum, Jean Lubuma

{"title":"A mathematical model to study herbal and modern treatments against COVID-19","authors":"A. J. Ouemba Tassé, B. Tsanou, Cletus Kwa Kum, Jean Lubuma","doi":"10.1515/jncds-2023-0062","DOIUrl":"https://doi.org/10.1515/jncds-2023-0062","url":null,"abstract":"\u0000 In this paper, we propose a two-group deterministic COVID-19 model which takes into account educational campaigns and the fact that people infected with COVID-19 may choose either modern (allopathic) medicine, traditional medicine or may combine the two modes of treatment. The model is analysed in the case where modern medicine is the only mode of treatment and when traditional medicine is taken as an adjuvant (or another mode of treatment). We prove in the first case that the model has a disease-free equilibrium (DFE), globally asymptotically stable when the control reproduction number is less than one and whenever it is greater than one, we prove the local asymptotic stability of the endemic equilibrium. In the second case, we prove that, misconceptions in the population lead to a backward bifurcation phenomenon, which makes the control of the disease more difficult. We derive using the Lyapunov method that a threshold \u0000 \u0000 \u0000 T\u0000 \u0000 \u0000$mathcal{T}$\u0000\u0000 \u0000 \u0000 ensures the global asymptotic stability of DFE in some cases when its value is less than one. Both models are fitted using daily COVID-19 cumulative cases reported from January to February 2022 in South Africa. We found a control reproduction number less than one, meaning that COVID-19 will be eliminated. Comparison of the two models fits highlights that misconceptions should be taken into account to accurately describe the dynamics of COVID-19 in South Africa. Numerically, we prove that educational campaigns should focus on preventive measures and both traditional and allopathic medicine health care systems should complement each other in the fight against COVID-19.","PeriodicalId":516284,"journal":{"name":"Journal of Nonlinear, Complex and Data Science","volume":"9 8","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140253267","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Study of explicit travelling wave solutions of nonlinear (2 + 1)-dimensional Zoomeron model in mathematical physics 数学物理中非线性（2 + 1）维佐莫伦模型的显式行波解研究

Journal of Nonlinear, Complex and Data Science Pub Date : 2024-02-23 DOI: 10.1515/jncds-2023-0068

K. U. Tariq, Jian-Guo Liu, Sana Nisar

{"title":"Study of explicit travelling wave solutions of nonlinear (2 + 1)-dimensional Zoomeron model in mathematical physics","authors":"K. U. Tariq, Jian-Guo Liu, Sana Nisar","doi":"10.1515/jncds-2023-0068","DOIUrl":"https://doi.org/10.1515/jncds-2023-0068","url":null,"abstract":"\u0000 This article studeis the nonlinear (2 + 1)-dimensional Zoomeron equation by utilizing the various prominent analytical approaches namely the unified method and the extended hyperbolic function approach. The analysis in the current paper demonstrates the presence of travelling wave solutions. The applied methods are utilized as powerful tools to investigate and solve the model. The results obtained through these analytical methods reveal insightful patterns in the behavior of the Zoomeron equation. The significance of our work lies in the uniqueness of the methods employed. The two methods are applied to systematically analyze the equation, revealing hidden patterns and structures within its solution space. This leads to the discovery of a collection of solitary wave solutions such as kink waves, singular kink waves, periodic waves and dark soliton using contour plots, 3D and 2D graphics. In this article, we definitely prove that as the free parameters change, the wave amplitude changes as well. It is shown that the applied strategies are more effective and may be implemented to a variety of contemporary nonlinear evolution models emerging in mathematical physics.","PeriodicalId":516284,"journal":{"name":"Journal of Nonlinear, Complex and Data Science","volume":"50 9","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140437085","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Oscillatory nonlinear thermal instability in nanoliquid under gravity modulation within Hele-Shaw cell 海尔-肖池内重力调制下纳米液体的振荡非线性热不稳定性

Journal of Nonlinear, Complex and Data Science Pub Date : 2024-01-10 DOI: 10.1515/jncds-2023-0047

P. Kiran

引用次数: 0

New LMI constraint-based settling-time estimation for finite-time stability of fractional-order neural networks 基于 LMI 约束的新沉淀时间估算，实现分数阶神经网络的有限时间稳定性

Journal of Nonlinear, Complex and Data Science Pub Date : 2024-01-09 DOI: 10.1515/jncds-2023-0020

Shafiya Muthu, N. Gnaneswaran

引用次数: 0

Fuzzy neutral fractional integro-differential equation existence and stability results involving the Caputo fractional generalized Hukuhara derivative 涉及卡普托分式广义赫库哈拉导数的模糊中性分式积分微分方程存在性和稳定性结果

Journal of Nonlinear, Complex and Data Science Pub Date : 2024-01-09 DOI: 10.1515/jncds-2023-0059

Aziz El Ghazouani, Fouad Ibrahim Abdou Amir, M. Elomari, Said Melliani

引用次数: 0