Article
Mathematics, Applied
S. Ali Faghidian, Krzysztof Kamil Zur, Isaac Elishakoff
Summary: This study utilizes the mixture unified gradient theory of elasticity to investigate the nanoscopic nonlinear flexure mechanics of nanobeams. Through a mixed variational framework and numerical approach, the size-effect phenomenon associated with stress gradient, strain gradient, and classical elasticity theories is realized and the nonlinear flexural characteristics of nano-sized beams are detected and compared.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2023)
Article
Mathematics, Interdisciplinary Applications
Mostafa M. A. Khater
Summary: This article investigates the solitary wave solutions of the cubic-quintic nonlinear Helmholtz equation using two recent analytical methods. The results demonstrate the model's ability to describe the propagation of pulses with Kerr-like and quintic nonlinearities as well as spatial dispersion in a planar waveguide. Novel soliton wave solutions are obtained and presented in different forms and figures.
CHAOS SOLITONS & FRACTALS
(2022)
Article
Physics, Applied
Mostafa M. A. Khater
Summary: This paper explores accurate, stable, and novel soliton wave solutions of the nonlinear Qiao model. The well-known generalized extended tanh-function method is employed to construct the solutions. The stability and accuracy of the obtained solutions are examined, and their physical and dynamical behavior is demonstrated through graphical representations.
MODERN PHYSICS LETTERS B
(2022)
Article
Mathematics, Applied
Zhichao Yang, Yanlin Li, Melek Erdogdu, Yushu Zhu
Summary: This paper applies envelope theory and singularity theory to study the evolutoids and pedaloids in Minkowski plane, providing a comprehensive analysis from both algebraic and geometric perspectives. The study further explores the evolving nature of evolutoids using singularity theory, offering classifications of their singularities and explaining the occurrence of cusps and inflexions. Additionally, a strong correlation between the evolutoids and pedaloids and their respective singularities is discovered.
JOURNAL OF GEOMETRY AND PHYSICS
(2022)
Article
Mathematics, Interdisciplinary Applications
Tingting Li, Youming Guo
Summary: This study aims to simulate the transmission of the mutated COVID-19 (Delta strain) in China with a certain vaccination rate and propose effective control measures. A novel epidemic model with a vaccinated population is developed, and the basic properties of the model are analyzed, including the calculation of the basic reproduction number R-0. Data on the Delta strain epidemic in Jiangsu Province, China are collected and analyzed using the weighted nonlinear least square estimation method. The study identifies key parameters through global sensitivity analysis and proposes dynamic adjustment of vaccination, isolation, and nucleic acid testing as the optimal control measure to minimize infections at the lowest cost.
CHAOS SOLITONS & FRACTALS
(2022)
Article
Mathematics, Interdisciplinary Applications
Muhammad Bilal Khan, Gustavo Santos-Garcia, Muhammad Aslam Noor, Mohamed S. Soliman
Summary: This study considers the Hermite-Hadamard type and related inequalities of fuzzy-number valued mappings. New versions of these inequalities are obtained along with the introduction of new classes of fuzzy numbered valued convexity. Applications of the main results are demonstrated through various examples.
CHAOS SOLITONS & FRACTALS
(2022)
Article
Mathematics, Interdisciplinary Applications
Bang-Qing Li, Yu-Lan Ma
Summary: In this study, the properties of multiple wave interactions in the Manakov system are investigated, and hybrid solutions containing rogue waves and breathers are obtained using the Darboux transformation method. The evolutionary processes and interaction properties of these hybrid solutions are studied in detail.
CHAOS SOLITONS & FRACTALS
(2022)
Article
Physics, Applied
Mostafa M. A. Khater
Summary: This paper analyzes the structure of the analytical and numerical solutions of the combined mKdV equation and KdV equation using the Khater II method and B-spline numerical schemes. It presents various phenomena such as wave propagation, ion-acoustic waves, and thermal pulse propagation, and demonstrates the relationship between quick and slow solitons and the phase shift they generate.
INTERNATIONAL JOURNAL OF MODERN PHYSICS B
(2023)
Review
Mathematics, Interdisciplinary Applications
Xue Wang, Danfeng Luo, Quanxin Zhu
Summary: This paper investigates the Ulam-Hyers stability of Caputo type fuzzy fractional differential equations with time-delays. The existence and uniqueness of solutions are explored using mathematical tools and a hypothetical condition, and the theoretical results are validated through numerical simulations.
CHAOS SOLITONS & FRACTALS
(2022)
Article
Mathematics, Applied
Ning Wang, Guoshan Zhang, N. Kuznetsov, Houzhen Li
Summary: This paper presents a modified Sprott-A system without equilibrium point but with perpetual points, which has the conservative property and can generate chaotic sea. Different number of scroll chaos can be extended by adjusting the system parameters. In addition, hidden tori coexist with the chaotic sea.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2022)
Article
Mathematics, Interdisciplinary Applications
Anurag Shukla, V. Vijayakumar, Kottakkaran Sooppy Nisarc
Summary: In this article, we focus on the existence and approximate controllability results for the fractional semilinear impulsive control system of order r is an element of (1, 2). Two different sets of sufficient conditions are considered: one involving the theories on fractional calculus, compactness of the cosine family, and Schauder's fixed point theorem, and the other utilizing Gronwall's inequality to avoid the usage of compactness of cosine family and fixed point theorems. The article discusses the existence and uniqueness of mild solutions for the fractional semilinear impulsive system by introducing suitable assumptions, and provides theoretical and practical applications to support the effectiveness of the discussion.
CHAOS SOLITONS & FRACTALS
(2022)
Article
Mathematics, Applied
Qin Fan, Guo-Cheng Wu, Hui Fu
Summary: The general fractional calculus has gained popularity in continuous time random walk. However, the boundedness condition of the general fractional integral remains unknown. In this short communication, the authors utilize classical norm space and present a general boundedness theorem. Moreover, they suggest various long-tailed waiting time probability density functions for continuous time random walk, as the general fractional integral is well defined.
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS
(2022)
Article
Physics, Mathematical
T. Kim, D. S. Kim
Summary: This paper aims to utilize certain degenerate differential and degenerate difference operators to study identities involving degenerate harmonic numbers, finite sums of general nature, the values of generalized falling factorials, and degenerate Laguerre polynomials.
RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS
(2022)
Article
Mathematics, Interdisciplinary Applications
Dong Yu, Guowei Wang, Qianming Ding, Tianyu Li, Ya Jia
Summary: This paper investigates the influence of bounded noise and time delay on the sub-threshold signal transmission in FitzHugh-Nagumo neuronal networks. The study finds that moderate noise levels can enhance signal transmission in neuronal systems, with an optimal cross-correlation time for the best enhancement. Furthermore, the positively correlated bounded noise-induced stochastic anti-resonance phenomenon strengthens monotonically with increasing cross-correlated intensity. Interestingly, the phenomenon disappears when the noise is negatively correlated. By fine-tuning the time delay, resonance peaks occur at each half-integer multiples of the signal period, indicating delay-induced multiple stochastic resonances. Sub-harmonic stochastic resonance and stochastic anti-resonance alternate appear at the appropriate coupling strength. These findings offer a novel perspective on sub-threshold signal transmission in the nervous system.
CHAOS SOLITONS & FRACTALS
(2022)
Article
Computer Science, Interdisciplinary Applications
Genevieve Dusson, Markus Bachmayr, Gabor Csanyi, Ralf Drautz, Simon Etter, Cas van der Oord, Christoph Ortner
Summary: This study proposes an atomic cluster expansion method that uses a precomputation algorithm to obtain a complete set of basis functions and a fast recursive algorithm for efficient evaluation. It also discusses the challenges of basis optimization and parameter estimation in order to comprehensively analyze convergence to a high-fidelity reference model.
JOURNAL OF COMPUTATIONAL PHYSICS
(2022)
Article
Mathematics, Interdisciplinary Applications
Xin-Yi Gao, Yong-Jiang Guo, Wen-Rui Shan
Summary: This paper investigates a Whitham-Broer-Kaup-like system for dispersive long waves in shallow water in an ocean. It introduces two branches of hetero-Backlund transformations, two branches of bilinear forms, and two branches of M-soliton solutions to analyze the system.
CHAOS SOLITONS & FRACTALS
(2022)
Article
Physics, Multidisciplinary
Arnab Pal, Sarah Kostinski, Shlomi Reuveni
Summary: The inspection paradox challenges the common belief that processes that have already begun will end before those which have just started, highlighting the role of randomness in determining outcomes.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2022)
Article
Mathematics, Interdisciplinary Applications
S. A. El-Tantawy, R. A. Alharbey, Alvaro H. Salas
Summary: This study investigates the cylindrical rogue wave and breathers in a collisionless, unmagnetized, and warm pair-ion plasma. The fluid equations of the plasma model are reduced to a cylindrical nonlinear Schrodinger equation using the derivative expansion technique. Analytical and numerical solutions to the CNLSE are obtained and compared. The study provides insights into the propagation mechanism of cylindrical waves in fields such as plasma physics, fluid mechanics, optical fiber, and nonlinear optics.
CHAOS SOLITONS & FRACTALS
(2022)
Article
Computer Science, Interdisciplinary Applications
Yifei Guan, Ashesh Chattopadhyay, Adam Subel, Pedram Hassanzadeh
Summary: Developing machine learning-based data-driven subgrid-scale models for large eddy simulation is of growing interest. Prior tests show that deep convolutional neural networks accurately predict the inter-scale transfers, and transfer learning enhances the stability and accuracy of the model for different flow conditions.
JOURNAL OF COMPUTATIONAL PHYSICS
(2022)
Article
Mathematics, Applied
Yongxin Li, Chunbiao Li, Yibo Zhao, Sicong Liu
Summary: In this letter, a compact memristor structure unit is used to build a discrete chaotic system and design a memristor-type chaotic mapping. It is shown that two independent system parameters can control the amplitude of the chaotic mapping, and the internal memristor parameter leads to typical bifurcations in the mapping.
