Similarity Solution for High Weissenberg Number Flow of Upper-Convected Maxwell Fluid on a Linearly Stretching Sheet by Meysam Mohamadali, Nariman Ashrafi

“…Upon proper scaling and by means of an exact similarity transformation, the nonlinear momentum and constitutive equations of each layer transform into the respective system of highly nonlinear and coupled ordinary differential equations. …”
Get full text

Inverse scattering transform algorithm for the Manakov system by A.E. Chernyavsky, L.L. Frumin

“…A numerical algorithm is described for solving the inverse spectral scattering problem associated with the Manakov model of the vector nonlinear Schrödinger equation. This model of wave processes simultaneously considers dispersion, nonlinearity and polarization effects. …”
Get full text

Vibration of the Duffing Oscillator: Effect of Fractional Damping by Marek Borowiec, Grzegorz Litak, Arkadiusz Syta

“…We have applied the Melnikov criterion to examine a global homoclinic bifurcation and transition to chaos in a case of the Duffing system with nonlinear fractional damping and external excitation. …”
Get full text

Application of Local Fractional Homotopy Perturbation Method in Physical Problems by Nabard Habibi, Zohre Nouri

“…Nonlinear phenomena have important effects on applied mathematics, physics, and issues related to engineering. …”
Get full text

Abundant Soliton Structures to the (2+1)-Dimensional Heisenberg Ferromagnetic Spin Chain Dynamical Model by Kang-Jia Wang, Feng Shi, Guo-Dong Wang

“…The results obtained in this study are helpful to explain some physical meanings of some nonlinear physical models in electromagnetic waves.…”
Get full text

Robust Finite-Time Terminal Sliding Mode Control for a Francis Hydroturbine Governing System by Fengjiao Wu, Junling Ding, Zhengzhong Wang

“…Firstly, the mathematical model of a Francis hydroturbine governing system is presented and the nonlinear vibration characteristics are analyzed. Then, on the basis of finite-time control theory and terminal sliding mode scheme, a new robust finite-time terminal sliding mode control method is proposed for nonlinear vibration control of the hydroturbine governing system. …”
Get full text

ENERGY DISSIPATION CHARACTERISTICS OF NON-LINEAR NORMAL VIBRATION CONTACT INTERFACE by ZHANG MingSong, PANG Dan, WANG Hong, HUANG Tao, MING Ming

“…The energy dissipation characteristics of the non-linear normal vibration contact system of the interface have important theoretical and engineering significance for describing the dynamic mechanism of the interface.Based on Hertz contact theory, the dynamic model of nonlinear normal vibration contact of damping joint interface is established, and the dynamic response of damped free vibration and simple harmonic forced vibration and the calculation method of vibration contact energy dissipation are proposed; the non-linearity is established The dynamic equation of the normal vibration contact system, the energy dissipation rate and cumulative energy dissipation rate of damped free vibration, and the input energy and damping loss energy of simple harmonic forced vibration are calculated; the nonlinear normal vibration contact interface is studied The relationship between energy dissipation characteristics and energy transfer provides a theoretical basis for describing the dynamics of the vibrating contact interface.…”
Get full text

Bifurcation Type Change of AC Electrostatically Actuated MEMS Resonators due to DC Bias by Dumitru I. Caruntu, Kyle N. Taylor

“…This paper investigates the nonlinear response of microelectromechanical system (MEMS) cantilever resonator electrostatically actuated by applying a soft alternating current (AC) voltage and an even softer direct current (DC) voltage between the resonators and a parallel fixed ground plate. …”
Get full text

Solitons of the Twin-Core Couplers with Fractional Beta Derivative Evolution in Optical Metamaterials via Two Distinct Methods by Meryem Odabasi Koprulu, Zehra Pinar Izgi

“…The findings would be beneficial to understand physical behaviours in nonlinear optics, particularly twin-core couplers with optical metamaterials.…”
Get full text

Smart Wireless Power Transfer Operated by Time-Modulated Arrays via a Two-Step Procedure by Diego Masotti, Alessandra Costanzo, Vittorio Rizzoli

“…Very promising simulated energy transfer performance of the entire nonlinear radiating system is demonstrated.…”
Get full text

Soliton outcomes and dynamical properties of the fractional Phi-4 equation by Md Mostafa, Mohammad Safi Ullah

“…Our results agree with previous results and may help researchers better understand the behavior of nonlinear systems. Furthermore, other fields such as biology, economics, and engineering can apply our results.…”
Get full text

Study on the Vector Quadrilateral Isoparametric Shell Element with Shear Deformation by Zhen Wang, Yang Zhao, Zhi Ding, Huiping Tang

“…On this basis, the nonlinear calculation and analysis program of the quadrilateral isoparametric shell element is developed. …”
Get full text

Global Existence and Blow-Up of Solutions to a Parabolic Nonlocal Equation Arising in a Theory of Thermal Explosion by Wenyuan Ma, Zhixuan Zhao, Baoqiang Yan

“…First, we prove a comparison principle for some kinds of semilinear parabolic equations under nonlinear boundary conditions; using it, we show a new theorem of subsupersolutions. …”
Get full text

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. …”
Get full text

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. …”
Get full text

Characterization of the stress-strain state in a gas turbine engine compressor disc taking into account damage accumulation by Natalia Boychenko, Ivan Ishtyryakov

“…Nonlinear stress intensity factors are preferred as the fracture resistance parameters of materials and structures.…”
Get full text

The Nonsequential Fusion Method for Localization from Unscented Kalman Filter by Multistation Array Buoys by Gou Yanni, Wang Qi

“…Based on special features of array buoy and the research field of location and tracking of underwater target, the research combines the highly adaptive nonlinear filtering algorithm unscented Kalman filter with the nonlinear programming of multistation array buoy positioning system. …”
Get full text

Positive Position Feedback Control for High-Amplitude Vibration of a Flexible Beam to a Principal Resonance Excitation by Li Jun

“…The perturbation method of multiple scales is employed to find the general nonlinear response of the system and four first-order differential equations governing the amplitudes and phases of the responses are derived. …”
Get full text

Problem Analysis of Asaoka Method on the Post-construction Settlement Prediction of Soft Ground by ZHOU Yuelei, LIU Zhonghan

“…In view of uncertainty of Asaoka method on the post-construction settlement prediction of soft ground,this paper transforms the measured data at constant time interval through BP neural network with good nonlinear fitting ability,establishes the regression analysis model at different starting points and different time intervals based on Asaoka method,predicts the post-construction settlement by the model and analyze the stability of the predicted value through mathematical methods,as well as comprehensively analyzes the stability of the prediction results with the measured data of a soft foundation treatment project.The analysis results show that:①BP neural network with good nonlinear fitting ability is effectively used in the transformation of the measured data of soft ground;②It is not advisable to judge the reliability of Asaoka method by the correlation coefficient;③The small error of β₁ can cause significant error to the prediction results;④The reliability of prediction results can be increased by expanding time interval.…”
Get full text

STOCHASTIC BIFURCATION OF A CURRENT CARRYING THIN RECTANGULAR PLATE IN A MAGNETIC FIELD by WANG Ping, WEI Xing, WANG ZhiRen

“…A nonlinear random vibration model of a current carrying thin rectangular plate simply supported at each edge was established when the plate was applied mechanical load in a magnetic field. …”
Get full text