Numerical Simulation of the Nonlinear Flow Properties in Self-Affine Aperture-Based Fractures by Xin Zhou, Jianlong Sheng, Ruili Lu, Zuyang Ye, Wang Luo

“…The Forchheimer equation is validated to describe the nonlinear relationship between flow rate and pressure gradient. …”
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Multistep High-Order Methods for Nonlinear Equations Using Padé-Like Approximants by Alicia Cordero, José L. Hueso, Eulalia Martínez, Juan R. Torregrosa

“…We present new high-order optimal iterative methods for solving a nonlinear equation, f(x)=0, by using Padé-like approximants. …”
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Modification of Nonlinear Conjugate Gradient Method with Weak Wolfe-Powell Line Search by Ahmad Alhawarat, Zabidin Salleh

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Approximate Solutions of Fractional Nonlinear Equations Using Homotopy Perturbation Transformation Method by Yanqin Liu

“…A homotopy perturbation transformation method (HPTM) which is based on homotopy perturbation method and Laplace transform is first applied to solve the approximate solution of the fractional nonlinear equations. The nonlinear terms can be easily handled by the use of He's polynomials. …”
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Interval Oscillation Criteria of Second-Order Nonlinear Dynamic Equations on Time Scales by Yang-Cong Qiu, Qi-Ru Wang

“…Using functions in some function classes and a generalized Riccati technique, we establish interval oscillation criteria for second-order nonlinear dynamic equations on time scales of the form (p(t)ψ(x(t))xΔ(t))Δ+f(t,x(σ(t)))=0. …”
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Maximum Norm Analysis of a Nonmatching Grids Method for Nonlinear Elliptic PDES by A. Harbi, M. Boulbrachene

“…We provide a maximum norm analysis of a finite element Schwarz alternating method for a nonlinear elliptic PDE on two overlapping subdomains with nonmatching grids. …”
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Numerical Analysis of Dynamic Properties of Nonlinear Rotor Systems of Aircraft Jet Engines by Ján Kamenický, Eduard Malenovský, Jaroslav Zapomel

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Stability Analysis of Pneumatic Cabin Pressure Regulating System with Complex Nonlinear Characteristics by Xinhua Zheng, Lili Xie, Lizhuo Liu

“…Stability of pneumatic cabin pressure regulating system with complex nonlinear characteristics is considered. The mathematical model of each component is obtained and given in detail. …”
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The Use of Sumudu Transform for Solving Certain Nonlinear Fractional Heat-Like Equations by Abdon Atangana, Adem Kılıçman

“…We make use of the properties of the Sumudu transform to solve nonlinear fractional partial differential equations describing heat-like equation with variable coefficients. …”
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Robust Stabilization of Nonlinear Fractional Order Interconnected Systems Based on T-S Fuzzy Model by Yuting Li

“…This paper concerns robust stabilization of nonlinear fractional order interconnected systems. …”
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Applications of Riccati–Bernoulli and Bäcklund Methods to the Kuralay-II System in Nonlinear Sciences by Khudhayr A. Rashedi, Musawa Yahya Almusawa, Hassan Almusawa, Tariq S. Alshammari, Adel Almarashi

“…The Kuralay-II system (K-IIS) plays a pivotal role in modeling sophisticated nonlinear wave processes, particularly in the field of optics. …”
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Positive Solutions of a Fractional Boundary Value Problem with Changing Sign Nonlinearity by Yongqing Wang, Lishan Liu, Yonghong Wu

“…We discuss the existence of positive solutions of a boundary value problem of nonlinear fractional differential equation with changing sign nonlinearity. …”
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Nonlinear optical response of thermally stable perovskite for near-infrared optical modulator by Jiang Wang, Liang Xie, Jingjing Liu, Yuxuan Sun, Jinglong Xu, Jiacheng Li, Zhongying Zhang, Chengbing Qin, Liantuan Xiao, Guofeng Zhang, Yonggang Wang, Zhichun Yang, Guanghua Cheng

Subjects: “…Nonlinear optical…”
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Nonlinear stability of traveling wavefronts in an age-structured reaction-diffusion population model by Guangrui Li, Ming Mei, Yau Shu Wong

“…Linear stabilityfor this model was first presented by Gourley [4], when the time delay is small.Here, we extend the previous result to the nonlinear stability by using thetechnical weighted-energy method, when the initial perturbation around thewavefront decays to zero exponentially as x→-∞, but the initial perturbationcan be arbitrarily large on other locations. …”
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Normal Forms for Nonautonomous Nonlinear Difference Systems Under Nonuniform Dichotomy Spectrum by Ning Song

“…In this paper, the normal forms of nonautonomous nonlinear systems with discrete time are investigated. …”
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Oscillation of Second-Order Nonlinear Delay Dynamic Equations with Damping on Time Scales by H. A. Agwa, Ahmed M. M. Khodier, Heba A. Hassan

“…Also, our results unify the oscillation of the second-order nonlinear delay differential equation with damping and the second-order nonlinear delay difference equation with damping. …”
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Global Dynamics of an Epidemic Model with a Ratio-Dependent Nonlinear Incidence Rate by Sanling Yuan, Bo Li

“…We study an epidemic model with a nonlinear incidence rate which describes the psychological effect of certain serious diseases on the community when the ratio of the number of infectives to that of the susceptibles is getting larger. …”
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Robust Tracking Control for Vehicle Lateral Dynamics with Uncertain Parameters and External Nonlinearities by Huihui Pan, Yifu Zhang, Weichao Sun

“…This paper focuses on the problem of tracking control for vehicle lateral dynamic systems and designs an adaptive robust controller (ARC) based on backstepping technology to improve vehicle handling and stability, in the presence of parameter uncertainties and external nonlinearities. The main target of controller design has two aspects: the first target is to control the sideslip angle as small as possible, and the second one is to keep the real yaw rate tracking the desired yaw rate. …”
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S-Shaped Connected Component for Nonlinear Fourth-Order Problem of Elastic Beam Equation by Jinxiang Wang, Ruyun Ma, Jin Wen

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Multiple positive solutions for a nonlocal problem with fast increasing weight and critical exponent by Xiaotao Qian, Zhigao Shi

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