New Solitons and Multishock Wave Structures for the Conformable Space Fractional Burger and Time Fractional Sharma-Tasso-Olver Models by Selina Akter, null Harun-Or-Roshid, N. F. M. Noor

“…This present paper studies the conformable space fractional Burgers, and the time fractional Sharma-Tasso-Olver models; both are highly important for nonlinear diffusive waves in fluid dynamics, sound waves in a viscous medium, and flow in field soils, as well as in gas and plasma dynamics. …”
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Dynamics of computational waveform: A study of bifurcation, chaos, and sensitivity analysis. by Nur Hasan Mahmud Shahen, Md Al Amin, Foyjonnesa, M M Rahman

“…By integrating waveform characterization, chaotic behavior, and bifurcation analysis, this study enhances our understanding of the nonlinear behavior of waves in shallow water.…”
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Solitary Wave Solutions to a Fractional-Order Fokas Equation via the Improved Modified Extended Tanh-Function Approach by M. B. Almatrafi

“…The outcomes highlight the effectiveness and adaptability of the proposed strategy in resolving fractional nonlinear differential equations and expand our knowledge of fractional-order systems.…”
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An Innovative Time-Cost-Quality Tradeoff Modeling of Building Construction Project Based on Resource Allocation by Wenfa Hu, Xinhua He

“…The computational time-cost-quality curves in visual graphics from the case study prove traditional cost-time assumptions reasonable and also prove this time-cost-quality trade-off model sophisticated.…”
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On the Analytical Treatment for the Fractional-Order Coupled Partial Differential Equations via Fixed Point Formulation and Generalized Fractional Derivative Operators by Saima Rashid, Sobia Sultana, Nazeran Idrees, Ebenezer Bonyah

“…Burgers’ equation is a vital mathematical expression that appears in a variety of computational modelling fields, including fluid mechanics, nonlinear acoustics, gas dynamics, and traffic flow. …”
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Tracking objects using Grassmann manifold appearance modeling based on wireless multimedia sensor networks by Yinghong Xie, Xiaosheng Yu, Chengdong Wu

“…In this article, we propose a novel nonlinear algorithm for tracking significant deformable objects. …”
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Associations between serum lipid profiles and the incidence of chronic obstructive pulmonary disease in the UK Biobank by Mengxia Li, Bingqing Xu, Hao Yu, Yanan Wan, Zheng Zhu, Pengfei Luo, Jian Su, Jinyi Zhou, Xikang Fan

“…Results We documented 10,443 incident COPD cases. Nonlinear relationships were found between HDL-C, LDL-C, TC, ApoA, ApoB and COPD risk with RCS analysis (P values for non-linearity < 0.05). …”
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On the new sine-Gordon solitons of the generalized Korteweg-de Vries and modified Korteweg-de Vries models via beta operator by Yaya Wang, Md Nurul Raihen, Esin Ilhan, Haci Mehmet Baskonus

“…By applying a specific transformation, the equations are reduced to a nonlinear ordinary differential equation (NODE), allowing for the derivation of analytical solutions in various forms, including complex, hyperbolic, rational, and exponential. …”
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Deep Learning Multi-Modal Melanoma Detection: Algorithm Development and Validation by Nithika Vivek, Karthik Ramesh

“… Abstract BackgroundThe visual similarity of melanoma and seborrheic keratosis has made it difficult for older patients with disabilities to know when to seek medical attention, contributing to the metastasis of melanoma. …”
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The influence of rotational error and axial shift of toric intraocular lenses on residual astigmatism. by Diana Gargallo, Laura Remón, Jorge Ares, Francisco J Castro-Alonso

“…Simulated retinal images and Visual Strehl (VS) ratios were calculated to evaluate image quality.…”
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Modeling Spatial Data with Heteroscedasticity Using PLVCSAR Model: A Bayesian Quantile Regression Approach by Rongshang Chen, Zhiyong Chen

“…Spatial data not only enables smart cities to visualize, analyze, and interpret data related to location and space, but also helps departments make more informed decisions. …”
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Formation of spatial vegetation patterns in heterogeneous environments. by Karl Kästner, Daniel Caviedes-Voullième, Christoph Hinz

“…First, we demonstrate that the pattern formation in nonlinear reaction-diffusion models is highly sensitive to noise. …”
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Seismic assessment of unreinforced masonry façades from images using macroelement-based modeling by Mayar Ariss, Bryan German Pantoja-Rosero, Fabio Duarte, Mikita Klimenka, Carlo Ratti

“…The framework links image data with structural simulation by extracting visual and geometric features and translating them into consistent macroelement models using computer vision techniques, enabling nonlinear analyses under in-plane cyclic loading. …”
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Interpretability Study of Gradient Information in Individual Travel Prediction by Ziheng Su, Pengfei Zhang, Xiaohui Song, Yifan Li

“…Descending-order masking strategies exhibit the strongest impact, highlighting nonlinear interactions among features. Contribution maps visualize how gradients capture regular patterns and anomalies. …”
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Reinforcing the Structural Stability of Old Nationally Important Trees with FRP Wraps by Zheong Jun Yi, Junsuk Kang

“…FRP materials have high tensile strength, durability, and flexibility; hence, wrapping them around the surface of the tree trunk could enhance the overall stability of a tall tree subjected to high winds without sacrificing the tree’s visual aesthetics or damaging the bark. This study applied nonlinear finite element (FE) analyses to evaluate the complex structural behaviors of the wood and FRP wraps, both of which are anisotropic materials. …”
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Interactive effects of atmospheric oxidative pollutants and heat on circulatory disease mortality by Wenli Wang, Wenli Wang, Yang Chen, Ruoyu Li, Ruoyu Li, Linsheng Yang, Yu Jiang, Yu Jiang, Jianjun Xiang, Jianjun Xiang, Jing Wu, Jing Wu, Jing Li, Jing Li, Baoying Liu, Baoying Liu, Huaying Lin, Chuancheng Wu, Chuancheng Wu

“…A bivariate three-dimensional model was used to visualize their synergistic effects, and stratified analyses were conducted to compare differences between heat wave and non-heat wave periods.ResultsO3, Ox, and NO2 exhibit synergistic effects with ambient temperature, and their combined exposure significantly increases the mortality risk of circulatory system diseases, myocardial infarction, and stroke, with some health effects showing a “nonlinear exposure-response relationship with an inverted U-shaped pattern.” …”
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L-shaped association between oxidative balance score and vision-related functional burden in adults in the United States, NHANES 2005–2008 by Juntong Li, Juntong Li, Sheng Ye, Xiang Li, Xiang Li, Hui Liu, Yue Yang, Xuelei Lu, Heyue Jin, Li Liu, Li Liu

“…Restricted cubic spline was utilized to assess the nonlinear association of OBS with VRFB. Sensitivity analyses were performed to test the robustness of the results.ResultsA total of 6,682 participants aged 20 years and older were included in the NHANES database. …”
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Association of glucose to lymphocyte ratio with the risk of death in patients with atherosclerotic cardiovascular disease by Jinglin Lei, Wentao Duan, Xiaoxi Yao, Zheng Hu, Huihui Fan, Yifan Liu, Wenjian Zhong, Haipeng Li

“…Notably, the relationship between GLR and all-cause mortality exhibited a J-shaped nonlinear pattern, with an inflection point at 3.13.…”
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Association of Estimated Glucose Disposal Rate With Risk of Abdominal Aortic Aneurysm: Evidence From a Large-Scale Prospective Cohort Study of the UK Biobank by Yuanwei Chen, Ting Zhou, Songyuan Luo, Jizhong Wang, Fan Yang, Yingqing Feng, Lixin Fang, Jianfang Luo

“…Furthermore, the RCS curve revealed a nonlinear association between eGDR and AAA incidence risk (p for nonlinearity ≤ 0.05), identifying a threshold value of 7.78. …”
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A Target Tracking Method Based on a Pyramid Channel Attention Mechanism by Dongxuan Zhao, Yunsong Li, Jiaxing Li, Xiping Duan, Ning Ma, Yuhe Wang

“…The attention-guided multi-layer perceptron introduces nonlinear transformations under attention guidance to improve feature representation. …”
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