Existence of Solutions for Singular Second-Order Ordinary Differential Equations with Periodic and Deviated Nonlocal Multipoint Boundary Conditions by Ahmed M. A. El-Sayed, Fatma M. Gaafar

“…This paper studies the existence of continuous solutions for a class of nonlinear singular second-order ordinary differential equations subject to one of the following boundary conditions: periodic-deviated multipoint boundary conditions, periodic-integral boundary conditions, and periodic-nonlocal integral conditions in the Riemann-Stieltjes sense. …”
Get full text

Homotopy Series Solutions to Time-Space Fractional Coupled Systems by Jin Zhang, Ming Cai, Bochao Chen, Hui Wei

“…The HPSTM is a combination of Sumudu transform and homotopy perturbation method, which can be easily handled with nonlinear coupled system. We apply the method to the coupled Burgers system, the coupled KdV system, the generalized Hirota-Satsuma coupled KdV system, the coupled WBK system, and the coupled shallow water system. …”
Get full text

Searching for Analytical Solutions of the (2+1)-Dimensional KP Equation by Two Different Systematic Methods by Yongyi Gu, Fanning Meng

“…The results demonstrate that the applied methods are efficient and direct methods to solve the complex nonlinear systems.…”
Get full text

Stochastic Dynamics of an SIRS Epidemic Model with Ratio-Dependent Incidence Rate by Yongli Cai, Xixi Wang, Weiming Wang, Min Zhao

“…We investigate the complex dynamics of an epidemic model with nonlinear incidence rate of saturated mass action which depends on the ratio of the number of infectious individuals to that of susceptible individuals. …”
Get full text

Permeability Models for Magma Flow through the Earth's Mantle: A Lie Group Analysis by N. Mindu, D. P. Mason

“…The migration of melt through the mantle of the Earth is governed by a third-order nonlinear partial differential equation for the voidage or volume fraction of melt. …”
Get full text

Discrete Dynamics in Evolutionary Games by Orlando Gomes

“…Evolutionarily stable strategies are identified and nonlinear outcomes are explored. Besides the baseline payoffs of the established strategic interaction, the following elements are also vital to determine the dynamic outcome of a game: the initial fitness of each agent and the rule of motion that describes how individuals switch between strategies. …”
Get full text

Optimal Parametric Iteration Method for Solving Multispecies Lotka-Volterra Equations by Vasile Marinca, Nicolae Herişanu

“…This new approach, which can be easily applied to other strongly nonlinear problems, is very effective and yields very accurate results.…”
Get full text

Image Denoising Using Fourth Order Wiener Filter with Wavelet Quadtree Decomposition by Issam Dagher, Catherine Taleb

“…This paper uses the fourth order nonlinear wiener filter with wavelet quadtree decomposition and median absolute deviation. …”
Get full text

Complexity in Linear Systems: A Chaotic Linear Operator on the Space of Odd 2π-Periodic Functions by Tamás Kalmár-Nagy, Márton Kiss

“…Not just nonlinear systems but infinite-dimensional linear systems can exhibit complex behavior. …”
Get full text

Weakly Coupled B-Type Kadomtsev-Petviashvili Equation: Lump and Rational Solutions by Na Xiong, Wen-Tao Li, Biao Li

“…This method of solving the lump and rational solutions can also be applied to other nonlinear evolution equations.…”
Get full text

Synchronization in pth Moment for Stochastic Chaotic Neural Networks with Finite-Time Control by Yuhua Xu, Jinmeng Wang, Wuneng Zhou, Xin Wang

“…Compared with some existing results about finite-time mean square stability of stochastic neural network, we obtain some useful criteria of finite-time synchronization in pth moment for chaotic neural networks based on finite-time nonlinear feedback control and finite-time adaptive feedback control, which are efficient and easy to implement in practical applications. …”
Get full text

A Scalar Field Dark Matter Model and Its Role in the Large-Scale Structure Formation in the Universe by Mario A. Rodríguez-Meza

“…The equations that govern the evolution of the scale factor of the universe are derived together with the appropriate Newtonian equations to follow the nonlinear evolution of the structures. Results are given in terms of the power spectrum that gives quantitative information on the large-scale structure formation. …”
Get full text

Existence of a unique solution to a fourth-order boundary value problem and elastic beam analysis by Ravindra Rao, Jagan Mohan Jonnalagadda

“…The existence and uniqueness of solutions to the models are guaranteed for certain classes of linear and nonlinear loading forces.…”
Get full text

Study of Hybrid Problems under Exponential Type Fractional-Order Derivatives by Mohammed S. Abdo, Sahar Ahmed Idris, M. Daher Albalwi, Tomadir Ahmed Idris

“…Then, we apply Dhage’s nonlinear alternative to the Schaefer type to prove the existence results. …”
Get full text

Bifurcation Analysis and Single Traveling Wave Solutions of the Variable-Coefficient Davey–Stewartson System by Tianyong Han, Jiajin Wen, Zhao Li

“…By employing the traveling wave transformation, the variable-coefficient Davey–Stewartson system is reduced to two-dimensional nonlinear ordinary differential equations. On the one hand, we use the bifurcation theory of planar dynamical systems to draw the phase diagram of the variable-coefficient Davey–Stewartson system. …”
Get full text

Deformation of the Cooling Vessel's Shell by Katarina Pisačić, Mario Pintarić

“…This paper will present the procedure for calculating the internal volume obtained by deforming the outer shell of the cooling vessel. A nonlinear finite element analysis was conducted using the Ansys software. …”
Get full text

A Relativistic Algorithm with Isotropic Coordinates by S. A. Ngubelanga, S. D. Maharaj

“…The algorithm leads to a nonlinear Bernoulli equation which can be integrated in terms of arbitrary functions. …”
Get full text

Seismic Evaluation and Retrofit of Reinforced Concrete Buildings with Masonry Infills Based on Material Strain Limit Approach by Mangeshkumar R. Shendkar, Denise-Penelope N. Kontoni, Sasankasekhar Mandal, Pabitra Ranjan Maiti, Omid Tavasoli

“…A three-dimensional four-storey building with masonry infills has been analyzed with nonlinear static adaptive pushover analysis by using the SeismoStruct software. …”
Get full text

Shallow-Water Wave Dynamics: Butterfly Waves, X-Waves, Multiple-Lump Waves, Rogue Waves, Stripe Soliton Interactions, Generalized Breathers, and Kuznetsov–Ma Breathers by Sarfaraz Ahmed, Ujala Rehman, Jianbo Fei, Muhammad Irslan Khalid, Xiangsheng Chen

“…A nonlinear <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mn>3</mn><mo>+</mo><mn>1</mn><mo>)</mo></mrow></semantics></math></inline-formula>-dimensional nonlinear Geng equation that can be utilized to explain the dynamics of shallow-water waves in fluids is given special attention. …”
Get full text

Groundwater Level Forecasting in the Jakarta Groundwater Basin by Andi Agus Nur, Dani Ruswandi

“…The main advantage of AI models is their ability to reproduce nonlinear and complex processes without a full understanding of the underlying physics. …”
Get full text