Scanless laser waveform measurement in the near-infrared by Tran-Chau Truong, Yangyang Liu, Dipendra Khatri, Yuxuan Zhang, Bonggu Shim, Michael Chini

“…Recently, sub-cycle gating based on nonlinear excitation in active pixel sensors has allowed the first single-shot measurements of mid-infrared optical fields. …”
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A Comparison Study on Co- and Counterrotating Dual-Rotor System with Squeeze Film Dampers and Intermediate Bearing by Fei Wang, Gui-Huo Luo, Shu Yan, Hai-Tao Cui

“…Nonlinear dynamic model of a coaxial rotor system was established with a method combining the finite element method and the fixed interface modal synthesis method. …”
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Solitary and Rogue Wave Solutions to the Conformable Time Fractional Modified Kawahara Equation in Mathematical Physics by Nur Hasan Mahmud Shahen, Foyjonnesa, Md Habibul Bashar, Tasnim Tahseen, Sakhawat Hossain

“…The undercurrents of nonlinear wave answer are scrutinized and confirmed by MATLAB in 3D and 2D plots, and density plot by specific values of the convoluted parameters is designed. …”
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A Spherically Symmetric Model for the Tumor Growth by Saeed M. Ali, Ashfaque H. Bokhari, M. Yousuf, F. D. Zaman

“…The nonlinear tumor equation in spherical coordinates assuming that both the diffusivity and the killing rate are functions of concentration of tumor cell is studied. …”
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On the Analysis of Numerical Methods for Nonstandard Volterra Integral Equation by H. S. Mamba, M. Khumalo

“…We consider the numerical solutions of a class of nonlinear (nonstandard) Volterra integral equation. …”
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Analytic and Approximate Solutions of the Space-Time Fractional Schrödinger Equations by Homotopy Perturbation Sumudu Transform Method by Sara H. M. Hamed, Eltayeb A. Yousif, Arbab I. Arbab

“…The results show that the method is effective and convenient for solving nonlinear differential equations of fractional order.…”
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On the Variational Eigenvalues Which Are Not of Ljusternik-Schnirelmann Type by Pavel Drábek

“…We discuss nonlinear homogeneous eigenvalue problems and the variational characterization of their eigenvalues. …”
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Buckling suppression of a cantilever structure with a modified fuzzy sliding mode control by Jianhua Pan, Lin Sun, Xiaopei Liu, Yuyuan Zhang, Yili Duo

“…Subsequently, a second-order Galerkin discretization is applied to establish a two-dimensional nonlinear system for the cantilever structure. Numerical simulations demonstrate that a two-dimensional nonlinear dynamic model of the laminated composite structure is essential for precise buckling vibration estimations. …”
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Research on the Simulation Method for Equivalent Stiffness of Bolted Connection Thin Plate Structures by Zhe Chen, Qi-jun Zhao, Guo-chen Zhou

“…At the same time, by establishing the nonlinear dynamic model of bolted structure, the influence of different bolt preloads and excitation forces on the dynamic characteristics of bolted structure is studied.…”
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Adaptive Output Tracking of Driven Oscillators by Lili Diao, Martin Guay

“…The problem of controlling the heart dynamics in a real-time manner is formulated as an adaptive learning output-tracking problem. For a class of nonlinear dynamic systems with unknown nonlinearities and nonaffine control input, a Lyapunov-based technique is used to develop a control law. …”
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Extension of Khan’s Homotopy Transformation Method via Optimal Parameter for Differential Difference Equations by Mohamed S. Mohamed, Khaled A. Gepreel, Faisal A. Al-Malki, Nouf Altalhi

“…A new scheme, deduced from Khan’s homotopy perturbation transform method (HPTM) (Khan, 2014; Khan and Wu, 2011) via optimal parameter, is presented for solving nonlinear differential difference equations. Simple but typical examples are given to illustrate the validity and great potential of Khan’s homotopy perturbation transform method (HPTM) via optimal parameter in solving nonlinear differential difference equation. …”
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Analysis of the Response of Urban Water Consumption to Climatic Variables: Case Study of Khorramabad City in Iran by Omid Hamidi, Hamed Abbasi, Hamid Mirhashemi

“…The spline method also revealed that, by eliminating the effect of air temperature, the nonlinear reaction of water consumption to changes in pressure and relative humidity was increasing, and by eliminating the effects of the relative humidity and air pressure, the nonlinear reaction of water consumption to the air temperature was intensified. …”
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Approximate Solutions of Singular Two-Point BVPs Using Legendre Operational Matrix of Differentiation by A. Sami Bataineh, A. K. Alomari, I. Hashim

“…The accuracy of the technique is demonstrated through several linear and nonlinear test examples.…”
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Nonstationary Fronts in the Singularly Perturbed Power-Society Model by M. G. Dmitriev, A. A. Pavlov, A. P. Petrov

“…The theory of contrasting structures in singularly perturbed boundary problems for nonlinear parabolic partial differential equations is applied to the research of formation of steady state distributions of power within the nonlinear “power-society” model. …”
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The Effect of Residual Stress on the Electromechanical Behavior of Electrostatic Microactuators by Ming-Hung Hsu

“…This work simulates the nonlinear electromechanical behavior of different electrostatic microactuators. …”
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A Boundary Value Problem for Bihypermonogenic Functions in Clifford Analysis by Xiaoli Bian, Yuying Qiao

“…This paper deals with a nonlinear boundary value problem for bihypermonogenic functions in Clifford analysis. …”
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Variational Iteration Method and Differential Transformation Method for Solving the SEIR Epidemic Model by A. Harir, S. Melliani, H. El Harfi, L. S. Chadli

“…The aim of the present study is to analyze and find a solution for the model of nonlinear ordinary differential equations (ODEs) describing the so-called coronavirus (COVID-19), a deadly and most parlous virus. …”
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Limit-Point/Limit-Circle Results for Equations with Damping by M. Bartušek, John R. Graef

“…The authors study the nonlinear limit-point and limit-circle properties for the second order nonlinear damped differential equation (a(t)|y'|p-1y')'+b(t)|y'|q-1y'+r(t)|y|λ-1y=0, where 0<λ≤p≤q, a(t)>0, and r(t)>0. …”
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A Semiparametric Approach for Modeling Partially Linear Autoregressive Model with Skew Normal Innovations by Leila Sakhabakhsh, Rahman Farnoosh, Afshin Fallah, Mohammadhassan Behzadi

“…The nonlinear autoregressive models under normal innovations are commonly used for nonlinear time series analysis in various fields. …”
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Limiting Behavior of Travelling Waves for the Modified Degasperis-Procesi Equation by Jiuli Yin, Liuwei Zhao, Shanyu Ding

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