Kink Solutions for a Class of Generalized Dissipative Equations by Marianna Ruggieri

“…Many physically important nonlinear PDEs can be reduced to nonlinear ODEs by means of reduction techniques. …”
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A mathematical model of a nuclear reactor with delay depending on the power of the reactor by Kostas Bučys, Rasa Grigolienė, Jolanta Janutėnienė, Donatas Švitra

“…The nonlinear analysis of the model was done with the help of the theory of bifurcations. …”
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Solvability of the Brinkman-Forchheimer-Darcy Equation by Piotr Skrzypacz, Dongming Wei

“…The nonlinear Brinkman-Forchheimer-Darcy equation is used to model some porous medium flow in chemical reactors of packed bed type. …”
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Higher-Order Dynamic Delay Differential Equations on Time Scales by Hua Su, Lishan Liu, Xinjun Wang

“…We study the existence of positive solutions for the nonlinear four-point singular boundary value problem with higher-order p-Laplacian dynamic delay differential equations on time scales, subject to some boundary conditions. …”
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Control of Magnetic Manipulator Using Reinforcement Learning Based on Incrementally Adapted Local Linear Models by Martin Brablc, Jan Žegklitz, Robert Grepl, Robert Babuška

“…Reinforcement learning (RL) agents can learn to control a nonlinear system without using a model of the system. …”
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Mechanical Constitutive and Seepage Theoretical Model of Water Storage Media Based on Fractional Derivative by Lujun Wang, Yang Wu, Xiaoqian Zhu, Peng Li, Zhiguo Cao, Huan Yang

“…The fractional non-Darcy model rather than the Forchheimer equation can more accurately describe the nonlinear seepage process in water storage media.…”
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Optimization of distribution risk of hazardous materials in the production routing problem by Amin Farahbakhsh, Amirsaman Kheirkhah

“…Given that solving the mathematical model with the nonlinear objective function is more difficult, this function is approximated by a piecewise linear function.Findings: In this research, 8 standard instances have been used to evaluate and solve the model and compare the two nonlinear and linear models. …”
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Optimization of Data Distributed Network System under Uncertainty by Laxminarayan Sahoo, Supriyan Sen, Kalishankar Tiwary, Sovan Samanta, Tapan Senapati

“…Constrained optimization is a computationally challenging job whenever the constraints/limitations are nonlinear and nonconvex. Furthermore, nonlinear programming methods can easily deal same optimization problem if somehow the constraints are nonlinear and convex. …”
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Application of the Natural Decomposition Method to Strongly Coupled Partial Differential Equations: The Gray-Scott Model. by Nsingwire, Godwin

“…This study investigated the application of the natural decomposition method for solving the Gray-Scott reaction-diffusion model, which is known for its complex nonlinearities and strong coupling between chemical species. …”
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Solutions of Conformable Fractional-Order SIR Epidemic Model by Atimad Harir, Said Malliani, Lalla Saadia Chandli

“…These models are nonlinear system of conformable fractional differential equation (CFDE) that has no analytic solution. …”
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The Improved Generalized tanh-coth Method Applied to Sixth-Order Solitary Wave Equation by M. Torvattanabun, J. Simmapim, D. Saennuad, T. Somaumchan

“…The improved generalized tanh-coth method is used in nonlinear sixth-order solitary wave equation. This method is a powerful and advantageous mathematical tool for establishing abundant new traveling wave solutions of nonlinear partial differential equations. …”
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Existence Analysis of Multi-Point Boundary Value Problems with Riesz-Caputo Fractional Derivatives by Takieddine Zeghida, Rabah Khaldi, Assia Guezane-Lakoud

“…This paper explores the study of a specific category of nonlinear multi-point boundary value problems (BVPs) associated with Riesz-Caputo fractional differential equations and integral boundary conditions. …”
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Symmetry Breaking Soliton, Breather, and Lump Solutions of a Nonlocal Kadomtsev–Petviashvili System by Hong-Yu Wu, Jin-Xi Fei, Zheng-Yi Ma, Jun-Chao Chen, Wen-Xiu Ma

“…The Kadomtsev–Petviashvili equation is one of the well-studied models of nonlinear waves in dispersive media and in multicomponent plasmas. …”
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FSE-RBFNN-Based AILC of Finite Time Complete Tracking for a Class of Time-Varying NPNL Systems with Initial State Errors by Chunli Zhang, Lei Yan, Yangjie Gao

“…The paper proposed an adaptive iterative learning control (AILC) strategy for the unmatched uncertain time-varying nonparameterized nonlinear systems (NPNL systems). Addressing the difficulty of nonlinear parameterization terms in system models, a new function approximator (FSE-RBFNN) which is combined with radial basis function neural network (RBFNN) and Fourier series expansion (FSE) is introduced to model each time-varying nonlinear parameterization function. …”
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Association between Ambient Illumination and Cognitive Impairment: A Population-Based Study of Older by Tieyi Shi, Baozhong Chen

“…Smooth curve fitting showed that the correlation was nonlinear, with an inflection point at 1.22. Conclusions. …”
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Diverse Precise Traveling Wave Solutions Possessing Beta Derivative of the Fractional Differential Equations Arising in Mathematical Physics by Imran Siddique, Arshad M. Mirza, Kausar Shahzadi, M. Ali Akbar, Fahd Jarad

“…The accomplished solutions show that the presented methods are not only powerful mathematical tools for generating more solutions of nonlinear time fractional partial differential equations but also can be applied to nonlinear space-time fractional partial differential equations.…”
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MAGNETO-ELASTIC PRINCIPAL RESONANCE OF AXIALLY MOVING FERROMAGNETIC PLATE UNDER HARMONIC MAGNETIC FORCE (MT) by CAO TianXiao, HU YuDa

“…Based on Hamilton principle, the nonlinear magneto-elastic vibration equation of ferromagnetic plate is established under the combined action of mechanical load and harmonic magnetic force induced by magnetization. …”
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The Size Effect and Microstructure Changes of Granite after Heat Treatment by Zhongping Guo, Jian Li, Yongqi Song, Chengqian He, Fuyu Zhang

“…High temperature can change the mechanical properties of granite, with significant nonlinear characteristics, and at the same time change its microstructure. …”
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An adaptive NMPC for ROVs trajectory tracking with environmental disturbances and model uncertainties by Yi Zhang, Jianing Zhang, Zhiyang Guo, Lei Zhang, Yuchen Shang

“…The trajectory tracking problem is formulated as an online, nonlinear receding horizon optimization process. Control increments are computed as inputs to this nonlinear optimization problem. …”
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Chebyshev Wavelet Finite Difference Method: A New Approach for Solving Initial and Boundary Value Problems of Fractional Order by A. Kazemi Nasab, A. Kılıçman, Z. Pashazadeh Atabakan, S. Abbasbandy

“…A new method based on a hybrid of Chebyshev wavelets and finite difference methods is introduced for solving linear and nonlinear fractional differential equations. The useful properties of the Chebyshev wavelets and finite difference method are utilized to reduce the computation of the problem to a set of linear or nonlinear algebraic equations. …”
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