Fractional Soliton Dynamics and Spectral Transform of Time-Fractional Nonlinear Systems: A Concrete Example by Sheng Zhang, Yuanyuan Wei, Bo Xu

“…In this paper, the spectral transform with the reputation of nonlinear Fourier transform is extended for the first time to a local time-fractional Korteweg-de vries (tfKdV) equation. …”
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A Penalized Linear and Nonlinear Combined Conjugate Gradient Method for the Reconstruction of Fluorescence Molecular Tomography by Shang Shang, Jing Bai, Xiaolei Song, Hongkai Wang, Jaclyn Lau

“…Conjugate gradient method is verified to be efficient for nonlinear optimization problems of large-dimension data. …”
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Six-wave interaction in multimode waveguides with Kerr nonlinearity with allowance for the Gaussian structure of pump waves by V.V. Ivakhnik, D.R. Kapizov, V.I. Nikonov

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The Cauchy Problem for the Incompressible 2D-MHD with Power Law-Type Nonlinear Viscous Fluid by Jae-Myoung Kim

“…We investigate a motion of the incompressible 2D-MHD with power law-type nonlinear viscous fluid. In this paper, we establish the global existence and uniqueness of a weak solution u,b depending on a number q in ℝ2. …”
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An analytical disquisition on the nonlinear optical responses of carbon quantum dots engineered by diverse synthesis methodologies by Rashi Mahendra Patil, Akshay Raj R, Shyamal Mondal, Tejashree Bhave, Appala Venkata Ramana Murthy

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Nonlinear distortion compensation algorithm aided by channel estimation of memoryless power amplifier for OTFS receiver by Zhanjun JIANG, Huan LIU, Huawei ZHANG, Cuiran LI

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A Practical Prognostics Method Based on Stepwise Linear Approximation of a Nonlinear Degradation Model by Dawn An

“…In this paper, a practical prognostic method is proposed, based on the stepwise linear approximation of nonlinear degradation behavior, to simplify the prognostic process while significantly reducing computational costs and maintaining high accuracy. …”
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A Review of the Research and Development of High-Frequency Measurement Technologies Used for Nonlinear Dynamics of Drillstring by Lixin Li, Jin Wang, Yingmei Yu, Yifei Xing, Fengyan Zhang, Yi Zhang, Yanyan Li

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On nonlinear fractional Hahn integrodifference equations via nonlocal fractional Hahn integral boundary conditions by Nichaphat Patanarapeelert, Jiraporn Reunsumrit, Thanin Sitthiwirattham

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Dynamics of a Upright Pole Coupled with Nonlinear Hysteretic Isolators under Harmonic Base Excitation by Yongfeng Cheng, Hulun Guo, Zhubing Zhu, Xiaochao Su, Yushu Chen

“…Leady isolator shows hysteretic nonlinearity. The isolation efficiency of leady isolator is an important problem in many engineering structures. …”
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Energy-Momentum for a Charged Nonsingular Black Hole Solution with a Nonlinear Mass Function by Irina Radinschi, Theophanes Grammenos, Farook Rahaman, Andromahi Spanou, Sayeedul Islam, Surajit Chattopadhyay, Antonio Pasqua

“…The energy-momentum of a new four-dimensional, charged, spherically symmetric, and nonsingular black hole solution constructed in the context of general relativity coupled to a theory of nonlinear electrodynamics is investigated, whereby the nonlinear mass function is inspired by the probability density function of the continuous logistic distribution. …”
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Research on Chaotic Characteristics of Cascade Failure in Rail Transit Networks considering Nonlinear Load Fluctuations by Changfeng Zhu, Zhaoxin Tang, Chun An, Jinhao Fang, Jie Wang, Linna Cheng

“…To address the limitations of traditional cascading failure models, this paper proposes an innovative cascading failure model for metropolitan areas RTNs, which incorporates nonlinear load fluctuations and the bounded rationality of passengers. …”
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Nonlinear Langevin Equation of Hadamard-Caputo Type Fractional Derivatives with Nonlocal Fractional Integral Conditions by Jessada Tariboon, Sotiris K. Ntouyas, Chatthai Thaiprayoon

“…We study existence and uniqueness of solutions for a problem consisting of nonlinear Langevin equation of Hadamard-Caputo type fractional derivatives with nonlocal fractional integral conditions. …”
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Comparative Study of Nonlinear Static and Time-History Analyses of Typical Korean STS Container Cranes by Quang Huy Tran, Jungwon Huh, Van Bac Nguyen, Achintya Haldar, Choonghyun Kang, Kyeong Min Hwang

“…Results obtained by these two nonlinear static analysis methods are then compared with the results obtained by nonlinear time-history analyses of the STS cranes by exciting them with nine recorded earthquake time histories around worldwide. …”
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Toward the Approximate Solution for Fractional Order Nonlinear Mixed Derivative and Nonlocal Boundary Value Problems by Hammad Khalil, Mohammed Al-Smadi, Khaled Moaddy, Rahmat Ali Khan, Ishak Hashim

“…The paper is devoted to the study of operational matrix method for approximating solution for nonlinear coupled system fractional differential equations. …”
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Invulnerability of small-world network against cascading failure based on nonlinear load-capacity model by Xiao-ping WU, Jia-sheng WANG, Yan-lin QIN, Qing YE

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The nonlinear cysteine redox dynamics in the i-space: A proteoform-centric theory of redox regulation by James N. Cobley, Panagiotis N. Chatzinikolaou, Cameron A. Schmidt

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Global Existence and Energy Decay Rates for a Kirchhoff-Type Wave Equation with Nonlinear Dissipation by Daewook Kim, Dojin Kim, Keum-Shik Hong, Il Hyo Jung

“…The first objective of this paper is to prove the existence and uniqueness of global solutions for a Kirchhoff-type wave equation with nonlinear dissipation of the form under suitable assumptions on . …”
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Nonlinear Vibration Mechanism of the Marine Rotating Machinery with Airbag Isolation Device under Heaving Motion by Xiaolei Du, Ming Li

“…In this paper, we put an investigation into the nonlinear vibration mechanism of the marine rotating machinery with an airbag isolation device under heaving motion. …”
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An Output-Recurrent-Neural-Network-Based Iterative Learning Control for Unknown Nonlinear Dynamic Plants by Ying-Chung Wang, Chiang-Ju Chien

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