Modification of the Differential Transform Method With Search Direction Along the Spatial Axis by Helena Nayar, Patrick Azere Phiri

“…These include equations such as the nonlinear Fisher, combined KdV-mKdV, Hunter–Saxton (H-S), Fornberg–Whitham (FW), coupled systems such as the Whitham–Broer–Kaup (WBK) and the sine-Gordon (s-G) equations, integral equations, Volterra partial integro-differential equations (PIDE), and linear and nonlinear versions of the (complex) Schröedinger equation. …”
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Computational Simulation and Modeling of Freak Waves Based on Longuet-Higgins Model and Its Electromagnetic Scattering Calculation by Gengkun Wu, Chuanxi Liu, Yongquan Liang

“…In order to solve the weak nonlinear problem in the simulation of strong nonlinear freak waves, an improved phase modulation method is proposed based on the Longuet-Higgins model and the comparative experiments of wave spectrum in this paper. …”
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Generation of Massively Entangled Bright States of Light during Harmonic Generation in Resonant Media by Sili Yi, Nikolai D. Klimkin, Graham Gardiner Brown, Olga Smirnova, Serguei Patchkovskii, Ihar Babushkin, Misha Ivanov

“…In turn, entanglement of the material system with a single harmonic generates and controls entanglement between different harmonics. Hence, nonlinear media that are near resonant with at least one of the harmonics appear to be quite attractive for controlled generation of massively entangled quantum states of light. …”
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Double-Diffusive MHD Viscous Fluid Flow in a Porous Medium in the Presence of Cattaneo-Christov Theories by Bidemi Olumide Falodun, Adeola John Omowaye, Funmilayo Helen Oyelami, Homan Emadifar, Ahmed A. Hamoud, S. M. Atif

“…In order to numerically solve the nonlinear ODEs, the spectral relaxation method (SRM) is utilized. …”
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A New Fractional-Order Map with Infinite Number of Equilibria and Its Encryption Application by Ahlem Gasri, Amina-Aicha Khennaoui, Adel Ouannas, Giuseppe Grassi, Apostolos Iatropoulos, Lazaros Moysis, Christos Volos

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Numerical Study of the Active Tendon Control of a Cable-Stayed Bridge in a Construction Phase by M. H. El Ouni, N. Ben Kahla

“…The Finite Element model of the bridge is coupled with a nonlinear cable taking into account sag effect, general support movements, and quadratic and cubic nonlinear couplings between in-plane and out-of-plane motions. …”
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STRIP ROLLING MILL’S RIGID-FLEXIBLE COUPLING VIBRATION MODELING by ZHANG Yang, PENG Yan, SUN JianLiang, ZANG Yong

“…Tandem strip mill is a complex system composed of a plurality of working frames and auxiliary equipments,each frame is a multi-variable,nonlinear dynamic system,and interacts with the adjacent one by the moving steel strip. …”
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What Affects Bus Passengers’ Travel Time? A View from the Built Environment and Weather Condition by Xiaowei Li, Lanxin Shi, Haotian Li, Qian Liu, Jun Chen

“…This study also reveals nonlinear threshold effects. The study findings provide valuable insights that can be utilized to optimize the bus network and develop low-carbon-oriented land-use planning.…”
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Rolling Element Bearing Fault Recognition Approach Based on Fuzzy Clustering Bispectrum Estimation by W.Y. Liu, J.G. Han

“…Furthermore, there exist large amounts of noise jamming and nonlinear coupling components in bearing vibration signals. …”
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Research on Wheel-Rail Local Impact Identification Based on Axle Box Acceleration by Yuanjin Ji, Junwei Zeng, Wenjing Sun

“…Abnormal vibration signals of tramcar are mostly nonstationary and nonlinear signals. This study applied the Hilbert–Huang transform (HHT) to analyze abnormal vibration of the tramcar, aiming to overcome the limitations of some traditional time-frequency analysis methods, such as Fourier transform, in dealing with nonstationary and nonlinear signals. …”
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Frequency Analysis of Functionally Graded Curved Pipes Conveying Fluid by Feng Liang, Xiao-Dong Yang, Ri-Dong Bao, Wei Zhang

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Fractional Theoretical Model for Gravity Waves and Squall Line in Complex Atmospheric Motion by Liguo Chen, Liangui Yang

“…The evolution of nonlinear gravity solitary waves in the atmosphere is related to the formation of severe weather. …”
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Multiobjective Optimization Method Based on Adaptive Parameter Harmony Search Algorithm by P. Sabarinath, M. R. Thansekhar, R. Saravanan

“…Solving a nonlinear multiobjective optimization problem requires significant computing effort. …”
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Effective dimensionality of space-time in f(R)-general relativity with quantum boundary terms included by Mauricio Bellini

“…To do it we use a modified nonlinear quantum algebra recently introduced. The quantum field perturbations of space-time also alter the geodesic equations that describe the dynamics of the relativistic velocities, the metric tensor and the Ricci tensor. …”
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Enterprise Network Marketing Prediction Using the Optimized GA-BP Neural Network by Ruyi Yang

“…The neural network can approximate the nonlinear function with arbitrary precision, and the time series prediction model based on the neural network can well reflect the nonlinear development trend of information. …”
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E-Commerce across Boarder Logistics Risk Evaluation Model Based on Improved Neural Network by Wei Qiao

“…BP neural network is a typical algorithm in artificial intelligence network. It has strong nonlinear mapping ability and is the most prominent part to solve some nonlinear problems. …”
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Development of a New Multi-step Iteration Scheme for Solving Non-Linear Models with Complex Polynomiography by Amanullah Soomro, Amir Naseem, Sania Qureshi, Nasr Al Din Ide

“…The appearance of nonlinear equations in science, engineering, economics, and medicine cannot be denied. …”
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Coincidence Fixed-Point Theorems for p-Hybrid Contraction Mappings in Gb-Metric Space with Application by Lucas Wangwe

“…Henceforth, the illustrative applications are given by using nonlinear fractional differential equations.…”
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On Fractional Order Hybrid Differential Equations by Mohamed A. E. Herzallah, Dumitru Baleanu

“…We develop the theory of fractional hybrid differential equations with linear and nonlinear perturbations involving the Caputo fractional derivative of order 0<α<1. …”
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Quenching for a Non-Newtonian Filtration Equation with a Singular Boundary Condition by Xiliu Li, Chunlai Mu, Qingna Zhang, Shouming Zhou

“…This paper deals with a nonlinear p-Laplacian equation with singular boundary conditions. …”
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