Rogue Wave for the (3+1)-Dimensional Yu-Toda-Sasa-Fukuyama Equation by Hanlin Chen, Zhenhui Xu, Zhengde Dai

“…This result shows rogue wave can come from extreme behavior of breather solitary wave for (3+1)-dimensional nonlinear wave fields.…”
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On an Initial Boundary Value Problem for a Class of Odd Higher Order Pseudohyperbolic Integrodifferential Equations by Said Mesloub

“…This paper is devoted to the study of the well-posedness of an initial boundary value problem for an odd higher order nonlinear pseudohyperbolic integrodifferential partial differential equation. …”
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New Wavelets Collocation Method for Solving Second-Order Multipoint Boundary Value Problems Using Chebyshev Polynomials of Third and Fourth Kinds by W. M. Abd-Elhameed, E. H. Doha, Y. H. Youssri

“…This paper is concerned with introducing two wavelets collocation algorithms for solving linear and nonlinear multipoint boundary value problems. The principal idea for obtaining spectral numerical solutions for such equations is employing third- and fourth-kind Chebyshev wavelets along with the spectral collocation method to transform the differential equation with its boundary conditions to a system of linear or nonlinear algebraic equations in the unknown expansion coefficients which can be efficiently solved. …”
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F-Expansion Method and New Exact Solutions of the Schrödinger-KdV Equation by Ali Filiz, Mehmet Ekici, Abdullah Sonmezoglu

“…The proposed method is a straightforward, short, promising, and powerful method for the nonlinear evolution equations in mathematical physics.…”
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Multi-Objective Optimization of Injection Parameters and Energy Consumption Based on ANN-Differential Evolution by Devic Oktora, Yu-Hung Ting, Sukoyo

“…Injection molding (IM) is one complex manufacturing process characterized by nonlinear behavior. Unlike classic linear modeling techniques like simple regression, many machine learning (ML) models have the ability to adjust to the nonlinear behaviors and interactions between input and output parameters. …”
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Ab-initio trained machine learning potential for MAX compound Ti2AlC: construction, validation, and study of non linear elasticity by Aishwaryo Ghosh, Amitava Moitra, Tanusri Saha-Dasgupta

“…One of the intriguing features exhibited by the layered MAX phase compounds, is the nonlinear elastic behaviour. Since the experimental observation of this curious behaviour, the underlying micro-mechanism has been discussed to interpret experimental observations. …”
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Spectral Assessment of the Effects of Base Flexibility on Seismic Demands of a Structure by J. Borzouie, J. G. Chase, G. A. MacRae, G. W. Rodgers, G. C. Clifton

“…Linear and nonlinear spectral analyses show that increasing base flexibility generally increases frame lateral displacement and top moment of the column. …”
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Model-Based Control with Active Disturbance Rejection Algorithm for a Diesel Engine by Shun-Liang Ding, Shuai-Feng He, Bi-Qing Tu, Jin-Jin Liu, Yu-Yuan Wang, En-Zhe Song

“…To improve the speed control performance of a diesel engine, the active disturbance rejection controller (ADRC) is designed by adding an arranging transition process to the traditional PID controller, extracting differential signals reasonably, and adopting nonlinear combination process to error signals. The ADRC is composed of a tracking differentiator (TD), an extended state observer (ESO), and a nonlinear state error feedback (NLSEF). …”
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Construction of a Compound Model to Enhance the Accuracy of Hepatic Fat Fraction Estimation with Quantitative Ultrasound by Zsély Boglárka, Zita Zsombor, Aladár D. Rónaszéki, Anna Egresi, Róbert Stollmayer, Marco Himsel, Viktor Bérczi, Ildikó Kalina, Klára Werling, Gabriella Győri, Pál Maurovich-Horvat, Anikó Folhoffer, Krisztina Hagymási, Pál Novák Kaposi

“…<b>Conclusions:</b> The USFF and linear multivariable models are robust in diagnosing low-grade steatosis. Switching to a nonlinear model could enhance the fit to MRI-PDFF in advanced steatosis.…”
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The Influence of Buckling Mode and Buckling Stability Coefficient of Rigid-Frame Bridge during Construction in Cold Region by Jiangjiang Li, Xuanyu Zhang, Xiandong Wang

“…The stability safety factor of the geometric nonlinear stability analysis method constructed is 0.3% and 1.27% lower than the ideal state, respectively. …”
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Growth Rates of  Morphometric Variables in Approximately Linear Sections Using Lines in R3 by Aquiles E. Darghan, Enrique Quevedo García, Sergio Esteban Gamboa Muñoz, Carlos Armando Rivera Moreno

“…The calculation of approximate rates in nonlinear models may be inappropriate due to aspects related to the phrase known as the “average fallacy.” …”
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A Two-Disk Extended Jeffcott Rotor Model Distinguishing a Shaft Crack from Other Rotating Asymmetries by Xi Wu, Jim Meagher

“…A mathematical model of a cracked rotor and an asymmetric rotor with two disks representing a turbine and a generator is utilized to study the vibrations due to imbalance and side load. Nonlinearities typically related with a “breathing” crack are included using a Mayes steering function. …”
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Dynamical System Analysis of Interacting Hessence Dark Energy in f(T) Gravity by Jyotirmay Das Mandal, Ujjal Debnath

“…The resulting autonomous system is nonlinear. So, we have applied the theory of nonlinear dynamical system. …”
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Size-Dependent Dynamic Behavior of Axially Moving Graphene Nanosheets Using Nonlocal First-Order Shear Deformation Theory by Huafeng Tian

“…For this purpose, Kirchhoff's nonlinear plate model will be used in conjunction with the modified couple stress theory (MCST). …”
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Seismic Performance of Midstory Isolated Structures under Near-Field Pulse-Like Ground Motion and Limiting Deformation of Isolation Layers by Guiyun Yan, Fuquan Chen

“…The objective of the present research is to limit excessive deformation of the isolation layer and to reduce nonlinear response of midstory isolated structures. …”
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Developing Seismic Risk Prediction Functions for Structures by Naveed Ahmad, Qaisar Ali, Muhammad Adil, Akhtar Naeem Khan

“…The paper presents the development of a nonlinear static displacement-based methodology for seismic risk assessment and loss estimation of stone masonry building stock of Pakistan. …”
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Some results on stability of difference systems by Xiao-Song Yang, Ping Zhou

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Strong Convergence on the Aggregate Constraint-Shifting Homotopy Method for Solving General Nonconvex Programming by Zhichuan Zhu, Yeong-Cheng Liou

“…In the paper, the aggregate constraint-shifting homotopy method for solving general nonconvex nonlinear programming is considered. The aggregation is only about inequality constraint functions. …”
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Fixed Points of Generalized F-Suzuki Type Contraction in Complete b-Metric Spaces by Hamed Hamdan Alsulami, Erdal Karapınar, Hossein Piri

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Henry-Gronwall Integral Inequalities with “Maxima” and Their Applications to Fractional Differential Equations by Phollakrit Thiramanus, Jessada Tariboon, Sotiris K. Ntouyas

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