Exact Soliton Solutions to the Variable-Coefficient Korteweg–de Vries System with Cubic–Quintic Nonlinearity by Hongcai Ma, Xinru Qi, Aiping Deng

“…Under the help of the wave ansatz method, we obtain the exact soliton solutions to the variable-coefficient KdV system, such as the dark and bright soliton solutions, Tangent function solution, Secant function solution, and Cosine function solution. …”
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Propagation Properties of Laguerre–Gaussian Beams with Three Variable Coefficient Modulations in the Fractional Schrödinger Equation by Xinru Hao, Yong Liang, Min Zou, Bin Zhong, Chao Tan

“…This article investigates the transmission characteristics of Laguerre–Gaussian (LG) beams under cosine modulation, power function modulation and linear modulation based on the variable coefficient fractional Schrödinger equation (FSE), respectively. …”
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Calculation of heating laminar fluid flow with variable heat transfer coefficient on the surface of circular channel by U. V. Vidin, V. S. Zlobin, R. V. Kazakov

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Variable step-size LMS algorithm with hybrid weight coefficients based on the Rayleigh distribution curve by CHEN Dongwei, LIU Weidong, ZHANG Mingyi, JIN Mengzhe, FANG Qingyuan

“…The impact of the new variable step function parameters <italic>α</italic>, <italic>β</italic>, <italic>γ</italic> and the hybrid filter weight coefficient <italic>W</italic>(<italic>n</italic>) on the proposed algorithm performance and interference suppression analysis were discussed in detail. …”
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Lie Group Classification of a Class of Variable Coefficient Boiti–Leon–Manna–Pempinelli Equations by Christodoulos Sophocleous

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Novel Nonlinear Dynamical Solutions to the (2 + 1)‐Dimensional Variable Coefficients Equation Arise in Oceanography by Hajar F. Ismael, Tukur Abdulkadir Sulaiman, Harivan R. Nabi, Shams Forruque Ahmed

“…The assistance of the Hirota bilinear method secures different forms of multiple solitons and M‐lump waves, such as one‐, two‐, and three‐soliton, by using different functions of variable coefficients. Moreover, the long‐wave technique is under consideration when analyzing hybrid solutions, namely mixed soliton‐lump, two‐soliton‐lump, and soliton‐two‐lump solutions. …”
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The program for estimation non-elementary linear regressions with two variables using ordinary least squares by M. P. Bazilevskiy, D. V. Karbusheva

“…The aim of this article is to develop a program for approximate estimation of regression models specified on the basis of the Leontief production function (non-elementary regressions with two variables) and use it for modeling the unemployment rate in the Irkutsk region.Method. …”
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Interdecadal Variability of Summer Precipitation Efficiency in East Asia by Jian Wang, Shu Gui, Anqi Ma, Ruowen Yang, Qi Zhang

“…Two major modes of summertime precipitation efficiency are identified using Empirical Orthogonal Function (EOF) analysis. …”
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Research on Energy-Efficient Building Design Using Target Function Optimization and Genetic Neural Networks by Youxiang Huan

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Statistical Inference for the Heteroscedastic Partially Linear Varying-Coefficient Errors-in-Variables Model with Missing Censoring Indicators by Yuye Zou, Chengxin Wu

“…In this paper, we focus on heteroscedastic partially linear varying-coefficient errors-in-variables models under right-censored data with censoring indicators missing at random. …”
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Dynamical Behavior and the Classification of Single Traveling Wave Solutions for the Coupled Nonlinear Schrödinger Equations with Variable Coefficients by Zhao Li, Peng Li, Tianyong Han

“…Finally, the periodic wave solutions, implicit analytical solutions, hyperbolic function solutions, and Jacobian elliptic function solutions of the coupled nonlinear Schrödinger equations with variable coefficients are constructed.…”
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Series Solution Method Used to Solve Linear Caputo Fractional Initial Value Problems with Variable Coefficients by Aghalaya S Vatsala, Govinda Pageni

“…Computing the solution of the linear Caputo fractional differential equation with variable coefficients cannot be obtained in closed form as in the integer-order case. …”
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Improvement of Multi-functional Air-conditioning Water Heaters by Wang Haifeng, Li Yuduo, Yuan Huihui, Sun Yajuan, Zhang Shoubing, Dong Shanshan

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Approximation of an Optimal BV -Control Problem in the Coefficient for the p(x)-Laplace Equation by Ismail Aydin, Peter Kogut

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The Dirichlet problem for elliptic equation with several singular coefficients by Tuhtasin G. Ergashev

“…Recently found all the fundamental solutions of a multidimensional singular elliptic equation are expressed in terms of the well-known Lauricella hypergeometric function in many variables. In this paper, we find a unique solution of the Dirichlet problem for an elliptic equation with several singular coefficients in explicit form. …”
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Variáveis climáticas e o desempenho de um pivô central, em Cristalina Goiás Climatic variables and performance of center pivot at Cristalina, Goiás, Brazil by William Evangelista, Carlos A. S. Oliveira, Cícero L. Silva

“…<br>This research aimed to evaluate center pivot performance as a function of wind speed (VV), relative humidity of air (UR) and mean air temperature (T) and establish a stochastic model to estimate application efficiency as a function of these independent variables. …”
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Variable power functional dilution adjustment of spot urine by Thomas Clemens Carmine

“…This study introduces a novel variable power functional creatinine correction method (V-PFCRC) to normalize analytes to 1 g/L CRN by utilizing uncorrected analyte levels and two analyte-specific coefficients, c and d. …”
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Local RBF-FD-Based Mesh-free Scheme for Singularly Perturbed Convection-Diffusion-Reaction Models with Variable Coefficients by Ram Jiwari, Sukhveer Singh, Paramjeet Singh

“…This work analyze singularly perturbed convection-diffusion-reaction (CDR) models with two parameters and variable coefficients by developing a mesh-free scheme based on local radial basis function-finite difference (LRBF-FD) approximation. …”
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Inverse Scattering Integrability and Fractional Soliton Solutions of a Variable-Coefficient Fractional-Order KdV-Type Equation by Sheng Zhang, Hongwei Li, Bo Xu

“…However, the solved fNLEEs are all constant-coefficient models. In this study, we establish a fractional-order KdV (fKdV)-type equation with variable coefficients and show that the IST is capable of solving the variable-coefficient fKdV (vcfKdV)-type equation. …”
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Dissipation Scaling with a Variable <i>C_ϵ</i> Coefficient in the Stable Atmospheric Boundary Layer by Marta Wacławczyk, Jackson Nzotungishaka, Paweł Jędrejko, Joydeep Sarkar, Szymon P. Malinowski

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