A Procedure to Construct Exact Solutions of Nonlinear Fractional Differential Equations by Özkan Güner, Adem C. Cevikel

“…We use the fractional transformation to convert the nonlinear partial fractional differential equations with the nonlinear ordinary differential equations. …”
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Global solution for wave equation involving the fractional Laplacian with logarithmic nonlinearity by Bidi Younes, Abderrahmane Beniani, Khaled Zennir, Zayd Hajjej, Hongwei Zhang

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Existence of Periodic Solutions for Nonlinear Fully Third-Order Differential Equations by Yunfei Zhang, Minghe Pei

“…In this paper, we study the existence of periodic solutions to nonlinear fully third-order differential equation x‴+ft,x,x′,x″=0,t∈ℝ≔−∞,∞, where f:ℝ4⟶ℝ is continuous and T-periodic in t. …”
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Nonlinear Dynamic Analysis of Plates Stiffened by Parallel Beams with Deformable Connection by J. A. Dourakopoulos, E. J. Sapountzakis

“…The plate-beam structure is assumed to undergo moderate large deflections and the nonlinear analysis is carried out by retaining nonlinear terms in the kinematical relations. …”
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The decay of mechanical oscillations in piecewise linear system by Genovaitė Zaksienė

Subjects: “…nonlinear systems…”
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On the use of an high order perturbation method for numerical time integration in structural dynamics. by Claude, Bertille, Girault, Grégory, Leblé, Bruno, Cadou, Jean-Marc

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The old Babylonian algorithm: reborn with a bang and its application in non-linear vibration by Liangyuan Zhang

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Global Behavior of a New Rational Nonlinear Higher-Order Difference Equation by Wen-Xiu Ma

“…We present qualitative global behavior of solutions to a rational nonlinear higher-order difference equation zn+1=(czn+zn-k+c-1znzn-k)/(znzn-k+c),  n≥0, with positive initial values z-k,z-k+1,⋯,z0, and show the global asymptotic stability of its positive equilibrium solution.…”
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Stability Analysis and Optimal Control of a Vector-Borne Disease with Nonlinear Incidence by Muhammad Ozair, Abid Ali Lashari, Il Hyo Jung, Kazeem Oare Okosun

“…The paper considers a model for the transmission dynamics of a vector-borne disease with nonlinear incidence rate. It is proved that the global dynamics of the disease are completely determined by the basic reproduction number. …”
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Nonlinear Dynamic Analysis of the Cutting Process of a Nonextensible Composite Boring Bar by Bole Ma, Yongsheng Ren

“…A nonlinear dynamic analysis of the cutting process of a nonextensible composite cutting bar is presented. …”
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Investigation of Equivalent Unsprung Mass and Nonlinear Features of Electromagnetic Actuated Active Suspension by Jun Yin, Xinbo Chen, Jianqin Li, Lixin Wu

“…Besides, an extra force should be compensated due to the nonlinear features of the suspension structure and it is studied. …”
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Positive Solutions for Elliptic Problems with the Nonlinearity Containing Singularity and Hardy-Sobolev Exponents by Yong-Yi Lan, Xian Hu, Bi-Yun Tang

“…In this paper, we study multiplicity of positive solutions for a class of semilinear elliptic equations with the nonlinearity containing singularity and Hardy-Sobolev exponents. …”
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Numerical Oscillations Analysis for Nonlinear Delay Differential Equations in Physiological Control Systems by Qi Wang, Jiechang Wen

“…This paper deals with the oscillations of numerical solutions for the nonlinear delay differential equations in physiological control systems. …”
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Robust Predictive Functional Control for Flight Vehicles Based on Nonlinear Disturbance Observer by Yinhui Zhang, Huabo Yang, Zhenyu Jiang, Fan Hu, Weihua Zhang

“…A novel robust predictive functional control based on nonlinear disturbance observer is investigated in order to address the control system design for flight vehicles with significant uncertainties, external disturbances, and measurement noise. …”
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Nonlinear Dynamic Characteristic Analysis of a Landing String in Deepwater Riserless Drilling by Jun Liu, Hongliang Zhao, Simon X. Yang, Qingyou Liu, Guorong Wang

“…The dynamic model, which is nonlinearly coupled and multibody, is discretized by a finite element method and solved by the Newmark technique. …”
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A Nonlinear Dynamic Foundation Model for Dynamic Response of Track-Train Interaction by Phuoc T. Nguyen, Trung D. Pham, Hoa P. Hoang

“…The paper studies the dynamic response of track-train interaction on a nonlinear dynamic foundation model with special things such as (i) the nonlinear dynamic foundation model includes a nonlinear elastic spring, shear layer, viscous damping, and foundation mass; (ii) the process of the finite-element method of nonlinear dynamic response of the foundation and track-train interaction is established clearly; (iii) the numerical results show that the foundation mass has a significant effect on the dynamic characteristic of the structure system and dynamic response of track-train interaction under a moving vehicle and almost have more increasing dynamic displacements than others without the effect of the foundation mass. …”
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Application of the method of stationary phase to weakly nonlinear hyperbolic systems asymptotic solving by Aleksandras Krylovas

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Analytical Investigation of Magnetohydrodynamic Flow over a Nonlinear Porous Stretching Sheet by Fazle Mabood, Nopparat Pochai

“…We investigated the magnetohydrodynamic (MHD) boundary layer flow over a nonlinear porous stretching sheet with the help of semianalytical method known as optimal homotopy asymptotic method (OHAM). …”
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Electromagnetic fields in linear and nonlinear chiral media: a time-domain analysis by Ioannis G. Stratis, Athanasios N. Yannacopoulos

“…The paper concludes with the study of a class of nonlinear chiral media exhibiting Kerr-like nonlinearities, for which the existence of bright and dark solitary waves is shown.…”
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High-speed transmission characteristics of nonlinear spectral broadening carrier in turbulent channel by Tianshu WANG, Ying ZHANG, Ce YU, Fang DONG, Wanzhuo MA, Xianzhu LIU

Subjects: “…nonlinear spectral broadening…”
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