Fourier Spectral Method for a Class of Nonlinear Schrödinger Models by Lei Zhang, Weihua Ou Yang, Xuan Liu, Haidong Qu

“…In this paper, Fourier spectral method combined with modified fourth order exponential time-differencing Runge-Kutta is proposed to solve the nonlinear Schrödinger equation with a source term. …”
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Nonlinear Dynamics Induced by Coil Heat in the PMDC Motor and Control by André Cheukem, Alex Stéphane Kemnang Tsafack, Arnaud Ngonting Topy, Justin Roger Mboupda Pone

“…By using simple powerful tools of analyzing nonlinear dynamical systems like phase portraits, time traces and frequency spectrum in the MATLAB-SIMULINK environment, we showed that under certain conditions, the PMDC motor develops different behaviors so as periodic limited, and chaotic attractors, when the motor drive different form of external load torque and the windings resistance variation. …”
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Analytical Analysis for Parameter Design of Attached Nonlinear Energy Sink by Tianjiao Zhang, Luyu Li, Yilin Zheng

“…The dynamic responses of a linear primary structure coupled with a nonlinear energy sink (NES) are investigated under harmonic excitation in the 1 : 1 resonance regime. …”
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Nonlinear Extension of Multiproduct Expansion Schemes and Applications to Rigid Bodies by Jürgen Geiser

“…Moreover, nonlinearity is a challenge to splitting schemes, while one has to extend the exp-functions in terms of a nonlinear Magnus expansion. …”
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Representation of the solution of a nonlinear molecular beam epitaxy equation by Boubaker Smii

“…In this paper, we focus on a specific type of such SPDEs, namely the nonlinear beam epitaxy equation driven by Lévy noise. …”
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Recent Advances in Graphene-Assisted Nonlinear Optical Signal Processing by Jian Wang, Xiao Hu

“…So, we believe that the potential applications of graphene also lie in nonlinear optical signal processing, where the combination of its unique large χ(3) nonlinearities and dispersionless over the wavelength can be fully exploited. …”
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An Efficient Algorithm for Ill-Conditioned Separable Nonlinear Least Squares by Jiayan Wang, Lanlan Guo, Zongmin Li, Xueqin Wang, Zhengqing Fu

“…For separable nonlinear least squares models, a variable projection algorithm based on matrix factorization is studied, and the ill-conditioning of the model parameters is considered in the specific solution process of the model. …”
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On closed-form solutions of some nonlinear partial differential equations by S. S. Okoya

“…Also, we study the corresponding nonlinear wave equation.…”
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Nonlinear ARIMA Models with Feedback SVR in Financial Market Forecasting by Shiwei Su

“…Based on the characteristics of financial markets containing both linear and nonlinear components, this paper chooses to use Autoregressive Integrated Moving Average (ARIMA) model and feedback Support Vector Regression (SVR) models to effectively integrate the ARIMA model and the SVR model, taking into account their respective linear and nonlinear characteristics. …”
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Exact Solutions to the Nonlinear Schrödinger Equation with Time-Dependent Coefficients by Xin-Lei Mai, Wei Li, Shi-Hai Dong

“…In this paper, a trial function method is employed to find exact solutions to the nonlinear Schrödinger equations with high-order time-dependent coefficients. …”
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Novel Feature Selection Method for Nonlinear Support Vector Regression by Kejia Xu, Ying Xu, Yafen Ye, Weijie Chen

“…The development of sparse techniques presents a major challenge to complex nonlinear high-dimensional data. In this paper, we propose a novel feature selection method for nonlinear support vector regression, called FS-NSVR, which first attempts to solve the nonlinear feature selection problem in the regression technology field. …”
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A Class of Iterative Nonlinear Difference Inequality with Weakly Singularity by Chunmiao Huang, Wu-Sheng Wang, Xiaoliang Zhou

“…We discuss a class of new nonlinear weakly singular difference inequality, which is solved by change of variable, discrete Hölder inequality, discrete Jensen inequality, the mean-value theorem for integrals and amplification method, and Gamma function. …”
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Finite element-based nonlinear dynamic optimization of nanomechanical resonators by Zichao Li, Farbod Alijani, Ali Sarafraz, Minxing Xu, Richard A. Norte, Alejandro M. Aragón, Peter G. Steeneken

“…Abstract Nonlinear dynamic simulations of mechanical resonators have been facilitated by the advent of computational techniques that generate nonlinear reduced order models (ROMs) using the finite element (FE) method. …”
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The First Integral Method to the Nonlinear Schrodinger Equations in Higher Dimensions by Shoukry Ibrahim Atia El-Ganaini

“…The first integral method introduced by Feng is adopted for solving some important nonlinear partial differential equations, including the (2 + 1)-dimensional hyperbolic nonlinear Schrodinger (HNLS) equation, the generalized nonlinear Schrodinger (GNLS) equation with a source, and the higher-order nonlinear Schrodinger equation in nonlinear optical fibers. …”
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Asymptotic decay of nonoscillatory solutions of general nonlinear difference equations by E. Thandapani, S. Lourdu Marian, John R. Graef

“…The authors consider the mth order nonlinear difference equations of the form Dmyn+qnf(yσ(n))=ei, where m≥1, n∈ℕ={0,1,2,…}, ani>0 for i=1,2,…,m−1, anm≡1, D0yn=yn, Diyn=aniΔDi−1yn, i=1,2,…,m, σ(n)→∞ as n→∞, and f:ℝ→ℝ is continuous with uf(u)>0 for u≠0. …”
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Analysis of a Delayed SIR Model with Nonlinear Incidence Rate by Jin-Zhu Zhang, Zhen Jin, Quan-Xing Liu, Zhi-Yu Zhang

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Objective penalty function method for nonlinear programming with inequality constraints by Zhuolin Yan, Xiaowei Jiang, Siyao Wang

Subjects: “…nonlinear programming…”
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On the Solvability of Discrete Nonlinear Two-Point Boundary Value Problems by Blaise Kone, Stanislas Ouaro

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Single-molecule manipulation of copper nanoclusters for modulating nonlinear optics by Xuekun Gong, Zhuang-Hua Liu, Qinghua Xu, Lin Wang, Qingxiang Guo, Jian Zhang, Qiao-Hong Li, Wei-Hui Fang, Hui Shen

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Fault Detection for Discrete-Time Nonlinear Impulsive Switched Systems by Qingyu Su, Xiaolong Jia, Zhengfan Song

“…This paper investigates the fault detection problem for discrete-time nonlinear impulsive switched systems. Attention is focused on designing the fault detection filters to guarantee the robust performance and the detection performance. …”
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