Kernel Sliced Inverse Regression: Regularization and Consistency by Qiang Wu, Feng Liang, Sayan Mukherjee

“…Kernel sliced inverse regression (KSIR) is a natural framework for nonlinear dimension reduction using the mapping induced by kernels. …”
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Modelling the Influence of Awareness Programs by Media on the Drinking Dynamics by Hai-Feng Huo, Qian Wang

“…We develop a nonlinear mathematical model with the effect of awareness programs on the binge drinking. …”
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Constructions of solitary wave solutions for huge family of NPDEs with three applications. by Hanan A Alkhidhr, Y Omar

“…This study offers closed-form solutions for the frequently utilised families of nonlinear partial differential equations (NPDEs). This form based on the He's semi-inverse technique. …”
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Nonstandard Finite Difference Variational Integrators for Multisymplectic PDEs by Cuicui Liao, Xiaohua Ding

“…We obtain a nonstandard finite difference variational integrator for linear wave equation with a triangle discretization and two nonstandard finite difference variational integrators for the nonlinear Klein-Gordon equation with a triangle discretization and a square discretization, respectively. …”
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Simulation Analysis of the Dynamic Performance of Multi Tooth Meshing of Filtering Reducer based on ANSYS- LS / DYNA by Lei Xiaochun, Yang Rongsong, Zhu Bingfeng, Liu Qiang, Chen Zhiliang

“…The filtering reducer structure principle and multi tooth elastic meshing effect are introduced,with the help of explicit dynamics software ANSYS / LS- DYNA,the three- dimensional nonlinear finite element contact analysis model is established,the dynamic meshing simulation of gear transmission mechanism under a certain speed and different load torque is carried out,the tooth surface contact stress,tooth root bending stress distribution and the rules of contact force changes under the condition of multi tooth contact with time are obtained,a theoretical basis for further filter reducer gear strength analysis and fatigue life calculation is provided by this method.…”
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New Exact Solutions of Burgers’ Equation Using Power Index Method by Khalil Ahmad, Khudija Bibi

“…The proposed method has been effectively employed to find new exact solutions for the nonlinear Burgers’ equation. Finally, the proposed resulting answers are compared with the homotopy perturbation, decomposition, and variational iteration solutions.…”
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Active Components Based on Dynamic Negatrons by Pavlo Molchanov, Arun K. Mishra, Helen Linnik, Pavlo Mulyar

“…Parameters, which characterize non-linear mode of dynamic transistor negatrons, are derived. Nonlinear equivalent circuit and Volterra series are used to calculate parameters of negatrons. …”
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Karhunen-Loève Expansion for the Second Order Detrended Brownian Motion by Yongchun Zhou, Xiaohui Ai, Minghao Lv, Boping Tian

“…Based on the norm in the Hilbert Space L2[0,1], the second order detrended Brownian motion is defined as the orthogonal component of projection of the standard Brownian motion into the space spanned by nonlinear function subspace. Karhunen-Loève expansion for this process is obtained together with the relationship of that of a generalized Brownian bridge. …”
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A Self-Adaptive Technique for Solving Variational Inequalities: A New Approach to the Problem by Muhammad Bux, Saleem Ullah, Muhammad Shoaib Arif, Kamaleldin Abodayeh

“…Modification is done by using the self-adaptive technique that provides the basis for predicting a new predictor-corrector self-adaptive for solving nonlinear variational inequalities. The motivation of the presented study is to provide a meaningful extension to existing knowledge through convergence at mild conditions. …”
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Solutions and Conservation Laws of a (2+1)-Dimensional Boussinesq Equation by Letlhogonolo Daddy Moleleki, Chaudry Masood Khalique

“…We study a nonlinear evolution partial differential equation, namely, the (2+1)-dimensional Boussinesq equation. …”
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Positive solutions of three-point boundary value problems for higher-order p-Laplacian with infinitely many singularities by Fuyi Xu, Yonghong Wu, Lishan Liu, Yunming Zhou

“…We study a three-point nonlinear boundary value problem with higher-order p-Laplacian. …”
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On calculation of the relative index of a fixed point in the nondegenerate case by A. V. Guminskaya, P. P. Zabreiko

“…The paper is devoted to the calculation of the index of a zero and the asymptotic index of a linear completely continuous nonnegative operator. Also the case of a nonlinear completely continuous operator A whose domain and image are situated in a closed convex set Q of a Banach space is considered. …”
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Look-up table predistorter based on non-iterative algorithm and indirect learning architecture for TWTA by WANG Yong1, XIANG Xin1, 2

“…Simulation results show that the predistorter can reduce in-band distortion and spectrum regrowth greatly introduced by the nonlinear effects of TWTA.…”
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Three-Point Boundary Value Problems for Conformable Fractional Differential Equations by H. Batarfi, Jorge Losada, Juan J. Nieto, W. Shammakh

“…We first obtain Green's function for the linear problem and then we study the nonlinear differential equation.…”
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On the Limit Cycles for a Class of Perturbed Fifth-Order Autonomous Differential Equations by Nabil Sellami, Romaissa Mellal, Bahri Belkacem Cherif, Sahar Ahmed Idris

“…We study the limit cycles of the fifth-order differential equation x⋅⋅⋅⋅⋅−ex⃜−dx⃛−cx¨−bx˙−ax=εFx,x˙,x¨,x⋯,x⃜ with a=λμδ,b=−λμ+λδ+μδ,c=λ+μ+δ+λμδ,d=−1+λμ+λδ+μδ,e=λ+μ+δ, where ε is a small enough real parameter, λ,μ, and δ are real parameters, and F∈C2 is a nonlinear function. Using the averaging theory of first order, we provide sufficient conditions for the existence of limit cycles of this equation.…”
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Stability and Threshold of a Stochastic SIRS Epidemic Model with Vertical Transmission and Transfer from Infectious to Susceptible Individuals by Driss Kiouach, Yassine Sabbar

“…The aim of this paper is to generalize the nonlinear incidence rate of a stochastic SIRS (susceptible-infected-recovered-susceptible) epidemic model. …”
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Iterative Reproducing Kernel Method for Solving Second-Order Integrodifferential Equations of Fredholm Type by Iryna Komashynska, Mohammed AL-Smadi

“…We present an efficient iterative method for solving a class of nonlinear second-order Fredholm integrodifferential equations associated with different boundary conditions. …”
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Dual Approximate Solutions of the Unsteady Viscous Flow over a Shrinking Cylinder with Optimal Homotopy Asymptotic Method by Vasile Marinca, Remus-Daniel Ene

“…The unsteady viscous flow over a continuously shrinking surface with mass suction is investigated using the optimal homotopy asymptotic method (OHAM). The nonlinear differential equation is obtained by means of the similarity transformation. …”
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Parallel time-delay estimation algorithm for GMSK mixing signals by RUI Guo-sheng1, XU Bin2, ZHANG Song2

“…Parallel time-delay estimation algorithm was proposed for GMSK mixing signals based on linear approxima-tion approach.Parallel estimation equations were built in flat-fading channel according to autocorrelation of over-sampling based mixing signals and then Cramer-Rao bound for parallel time-delay estimation was deduced.Poly-nomial fitting method was uesed to simplifying nonlinear complexity of GMSK shaping filter and estimation equations were resolved numerically by gradient descent algorithm with fast convergence.Simulation results show that its estimat-ing performance is good and the variance of estimation error is close to Cramer-Rao bound.As a non-preamble aided al-gorithm with lower complexity it is significant for the next blind processing.…”
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Terahertz Generation in an Electrically Biased Optical Fiber: A Theoretical Investigation by Montasir Qasymeh

“…The optical fiber is mediated by an electrostatic field, which induces an effective second-order nonlinear susceptibility via the Kerr effect. The THz generation is based on difference frequency generation (DFG). …”
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