Numerical Range of Two Operators in Semi-Inner Product Spaces by N. K. Sahu, C. Nahak, S. Nanda

“…In this paper, the numerical range for two operators (both linear and nonlinear) have been studied in semi-inner product spaces. …”
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On the Second-Order Quantum (p,q)-Difference Equations with Separated Boundary Conditions by Chanon Promsakon, Nattapong Kamsrisuk, Sotiris K. Ntouyas, Jessada Tariboon

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Bell Polynomials Approach Applied to (2 + 1)-Dimensional Variable-Coefficient Caudrey-Dodd-Gibbon-Kotera-Sawada Equation by Wen-guang Cheng, Biao Li, Yong Chen

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Study of Polarized Wave with a Hydrodynamic Model and Fourier Spectral Method by Dennis Ling Chuan Ching, Zainal Abdul Aziz, Faisal Salah

“…Hydrodynamic equation for the nonlinear wave is used along with the polarized nonlinear waves and seismic waves act as initial waves. …”
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Analysis of a Fractional-Order Couple Model with Acceleration in Feelings by Ilknur Koca, Nuri Ozalp

“…A fractional-order nonlinear dynamical model of couple has been introduced. …”
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Analysis of Fractional Differential Equations with the Help of Different Operators by Naveed Iqbal, Moteb Fheed Saad Al Harbi, Saleh Alshammari, Shamsullah Zaland

“…This study uses an Elzaki decomposition method with two fractional derivatives to solve a fractional nonlinear coupled system of Whitham-Broer-Kaup equations. …”
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Initial Boundary Value Problem of the General Three-Component Camassa-Holm Shallow Water System on an Interval by Lixin Tian, Qingwen Yuan, Lizhen Wang

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Third-Order Approximate Solution of Chemical Reaction-Diffusion Brusselator System Using Optimal Homotopy Asymptotic Method by Salem Alkhalaf

“…We construct a new efficient recurrent relation to solve nonlinear Brusselator system of equations. It is observed that the method is easy to implement and quite valuable for handling nonlinear system of partial differential equations and yielding excellent results at minimum computational cost. …”
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Study of Convergence of Reduced Differential Transform Method for Different Classes of Differential Equations by Seyyedeh Roodabeh Moosavi Noori, Nasir Taghizadeh

“…In this work, we study the sufficient condition for convergence of the reduced differential transform method for nonlinear differential equations. The main power of this method is its ability and flexibility in solving linear and nonlinear problems properly and easily and obtain solutions both numerically and analytically. …”
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Existence of Solutions for Fractional q-Integrodifference Equations with Nonlocal Fractional q-Integral Conditions by Suphawat Asawasamrit, Jessada Tariboon, Sotiris K. Ntouyas

“…By applying the Banach contraction principle, Krasnoselskii’s fixed point theorem, and Leray-Schauder nonlinear alternative, the existence and uniqueness of solutions are obtained. …”
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A Study on Lump and Interaction Solutions to a (3 + 1)-Dimensional Soliton Equation by Xi-zhong Liu, Zhi-Mei Lou, Xian-Min Qian, Lamine Thiam

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Impact of Plastic Hinge Properties on Capacity Curve of Reinforced Concrete Bridges by Nasim Shatarat, Mutasem Shehadeh, Mohammad Naser

“…Pushover analysis is becoming recently the most practical tool for nonlinear analysis of regular and irregular highway bridges. …”
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Combined Damped Sinusoidal Oscillation Solutions to the (3 + 1)-D Variable-Coefficient Generalized NLW Equation in Liquid with Gas Bubbles by Xiuwang Wang, Jalil Manafian, Wayan Eka Mahendra, Azher M. Abed, Mustafa Z. Mahmoud, Guizhen Liang

“…This paper investigates the combined damped sinusoidal oscillation solutions to the 3+1-D variable-coefficient (VC) generalized nonlinear wave equation. The bilinear form is considered in terms of Hirota derivatives. …”
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Numerical Investigation of Fractional-Order Differential Equations via φ-Haar-Wavelet Method by F. M. Alharbi, A. M. Zidan, Muhammad Naeem, Rasool Shah, Kamsing Nonlaopon

“…In this paper, we propose a novel and efficient numerical technique for solving linear and nonlinear fractional differential equations (FDEs) with the φ-Caputo fractional derivative. …”
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Numerical Solutions of Duffing Van der Pol Equations on the Basis of Hybrid Functions by M. Mohammadi, A. R. Vahidi, T. Damercheli, S. Khezerloo

“…In the present work, a new approximated method for solving the nonlinear Duffing-Van der Pol (D-VdP) oscillator equation is suggested. …”
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Finite Difference Computation of Au-Cu/Magneto-Bio-Hybrid Nanofluid Flow in an Inclined Uneven Stenosis Artery by H. Thameem Basha, Karthikeyan Rajagopal, N. Ameer Ahammad, S. Sathish, Sreedhara Rao Gunakala

“…The present study addresses the fluid transport behaviour of the flow of gold (Au)-copper (Cu)/biomagnetic blood hybrid nanofluid in an inclined irregular stenosis artery as a consequence of varying viscosity and Lorentz force. The nonlinear flow equations are transformed into dimensionless form by using nonsimilar variables. …”
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Fractional-Order Modeling and Analysis of a Variable Structure Hybrid Energy Storage System for EVs by Jianlin Wang, Dan Xu, Jiahui Zhou, Jinlu Mao

“…Since the hybrid energy storage system is a nonlinear and complex system, the modeling of the system and the high-precision nonlinear control strategy are technical difficulties for research. …”
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Correlation Effects of Near-Field Seismic Components in Circular Metro Tunnels: A Case Study—Tehran Metro Tunnels by Seyed Amin Razavian Amrei, Reza Vahdani, Mohsen Gerami, Gholamreza Ghodrati Amiri

“…Seismic evaluation of underground structures such as tunnels requires nonlinear dynamic analysis, due to the complex dynamic behavior of soil and the interaction of soil and structure. …”
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Impact of maternal age on birth weight-related adverse outcomes in newborns: a retrospective study in south-central China by Zhi Huang, Yan Zhang, Jinlian Wang, Xia Tan, Aiping Zhang

“…Results The ages of pregnant women trended upward from 2018 to 2021. Maternal age had a nonlinear association with birth weight (P for nonlinear = 0.028). …”
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Generalized solutions describing singularity interaction by V. G. Danilov

“…We present a new method for constructing solutions to nonlinear evolutionary equations describing the propagation and interaction of nonlinear waves.…”
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