Optimal Control of Multiple Transmission of Water-Borne Diseases by G. Devipriya, K. Kalaivani

“…The optimal control is obtained by solving the optimality system which was composed of four nonlinear ODEs with initial conditions and four nonlinear adjoint ODEs with transversality conditions. …”
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Design of the Variable Inclination Continuous Transverse Stub Antenna Based on Rectangular Grating Slow-Wave Structure by Jun Gao, Xue Lei, Guo-Hu Chen, Yi Zhang, Jun-Mo Wu

“…Lastly, by using the theoretical model, an approach for nonlinearly designing SWS is introduced and carried out. …”
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Study on the Axial Compression Postbuckling Similitude Model of the Stiffened Cylindrical Shell with Dimple Imperfections by Jiawei Ding, Xinkui Xing, Wei Yu, Wanxu Zhu

“…The analysis results show that the complete similitude analysis of stiffened cylindrical shell axial-compression nonlinear buckling can be realized accurately; the partial similitude model for stiffened cylindrical shell axial-compression nonlinear buckling can better predict the buckling characteristics of its prototype structures, and the closer the Poisson’s ratio between the model and the prototype materials is, the more accurate the prediction results are. …”
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A Simplified Method of Microscopic Polarizability Tensor Differential of Hyper-Raman Spectroscopy Based on the Bond Additivity Model by Yuan Wang, Liping Huang

“…Coherent anti-Stokes Raman spectroscopy (CARS) and Ccherent anti-Stokes hyper-Raman spectroscopy (CAHRS), as other high-order nonlinear spectroscopy techniques, are widely exploited in many research fields, such as dynamic processes, gene expression spectrum screening, high-resolution spectroscopy, and nonlinear high-resolution imaging. …”
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Impact of Digital Inclusive Finance on Rural High-Quality Development: Evidence from China by Le Sun, Congmou Zhu

“…FE regression model and RE regression model were employed for empirical analysis, and we constructed a nonlinear regression model to investigate the nonlinear relationship as well. …”
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Associations between body mass index, high-sensitivity C-reactive protein, and depressive symptoms: NHANES 2015-2016 by Yan Zhang, Fengya Zhen, Yaxing Zhang, Cuixia An

“…No nonlinear association was found between BMI and DP (P =0.677) and between HSCRP and DP (P =0.439) in males. …”
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An Artificial Neural Network-Based Comprehensive Solar Photovoltaic Emulator by Kalaimohan Thankanadar Saraswathi, Parassuram Arumugam, Gurunandh V. Swaminathan, Somasundaram Periasamy

“…However, two significant challenges with PVEs are (i) solving the nonlinear equation of photovoltaic (PV) panel and (ii) oscillations in constant current (voltage) region with voltage (current) control. …”
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Combined Effects of Thermal Radiation and Nanoparticles on Free Convection Flow and Heat Transfer of Casson Fluid over a Vertical Plate by M. G. Sobamowo

“…The governing systems of nonlinear partial differential equations of the flow and heat transfer processes are converted to systems of nonlinear ordinary differential equations through similarity transformations. …”
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Comparison of the asymmetric multifractal behavior of green and U.S. bonds against benchmark financial assets by Werner Kristjanpoller, Benjamin Miranda Tabak

“…Green bonds, however, display nonlinear correlations with Bitcoin and stand out for their distinct upward financial persistence. …”
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Synthesis, optical linear and non-linear characterization and metal ion sensing application of some novel thieno[2,3-b]thiophene-2,5-dicarbohydrazide Schiff base derivatives by Ahmed. M. M. Soliman, Mahmoud Abd El Aleem Ali Ali El-Remaily, Moumen S. Kamel, Alaa El-Araby, E. Kh. Shokr

“…The obtained results manifested that compound 4 and DTT have lower (1.92 eV), and higher (3.47 eV) energy band gap values, respectively, as a result of the conjugation number effect. The high nonlinear refractive index n2 and third-order nonlinear susceptibility χ(3) of these organic thin films are comparable with those of chalcogenide and oxide materials, making them promising for nonlinear optical systems. …”
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Modeling and 1 : 1 Internal Resonance Analysis of Cable-Stayed Shallow Arches by Jiangen Lv, Zhicheng Yang, Xuebin Chen, Quanke Wu, Xiaoxia Zeng

“…Firstly, the Galerkin method is used to discretize the governing nonlinear integral-partial-differential equations. …”
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Cyclic surfaces accompanying non-ruled quadrics of rotation by K. L. Panchuk, T. M. Myasoedova, E. V. Lyubchinov

“…The paper considers the shaping of cyclic surfaces based on nonlinear rotation, in which the axis of rotation and the generatrix in the general case are three-dimensional smooth curves. …”
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Predictive Modeling of Volume and Biomass in Pinus pseudostrobus Using Machine Learning and Allometric Approaches by Pablo Antúnez, Christian Wehenkel, Erickson Basave-Villalobos, Celi Gloria Calixto-Valencia, César Valenzuela-Encinas, Faustino Ruiz-Aquino, David Sarmiento-Bustos

“…A key innovation of this study is its demonstration of how machine learning, with its ability to model complex, nonlinear relationships, can serve as a powerful tool for forest management. …”
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Breather and solitonic behavior of parametric Sine–Gordon equation with phase-shift and driven term by Taj Munir, Muhammad Zaman, Can Kang, Hussan Zeb, Alrazi Abdeljabbar, Mohammed Daher Albalwi

“…This study presents a comprehensive analytical and computational investigation of the nonlinear parametric sine-Gordon equation (sGE) with a driven term and phase shift. …”
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A Statistical Approach to Model the H-Index Based on the Total Number of Citations and the Duration from the Publishing of the First Article by Mohammad Reza Mahmoudi, Marzieh Rahmati, Zulkefli Mansor, Amirhosein Mosavi, Shahab S. Band

“…To determine the effect of every factor (NC and D1) on h, we applied a set of simple nonlinear regression. The results indicated that both NC and D1 had a significant effect on h (p < 0.001). …”
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The Rayleigh quotient and dynamic programming by Richard Bellman

“…The purpose of this paper is to derive a nonlinear partial differential equation for which λ given by (1.3), is one value of the solution. …”
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Periodic and Solitary-Wave Solutions for a Variant of the K(3,2) Equation by Jiangbo Zhou, Lixin Tian

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An Algorithm for Higher Order Hopf Normal Forms by A.Y.T. Leung, T. Ge

“…Normal form theory is important for studying the qualitative behavior of nonlinear oscillators. In some cases, higher order normal forms are required to understand the dynamic behavior near an equilibrium or a periodic orbit. …”
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The Analytical Solutions of the Stochastic Fractional RKL Equation via Jacobi Elliptic Function Method by Farah M. Al-Askar, Wael W. Mohammed

“…This article considers the stochastic fractional Radhakrishnan-Kundu-Lakshmanan equation (SFRKLE), which is a higher order nonlinear Schrödinger equation with cubic nonlinear terms in Kerr law. …”
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Existence and Uniqueness Results for Hadamard-Type Fractional Differential Equations with Nonlocal Fractional Integral Boundary Conditions by Phollakrit Thiramanus, Sotiris K. Ntouyas, Jessada Tariboon

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