Results 61 to 70 of about 697 (183)

On periodic solutions in the non-dissipative Lorenz model: the role of the nonlinear feedback loop

Tellus: Series A, Dynamic Meteorology and Oceanography, 2018
In this study, we discuss the role of the linear heating term and nonlinear terms associated with a non-linear feedback loop in the energy cycle of the three-dimensional (X–Y–Z) non-dissipative Lorenz model (3D-NLM), where (X, Y, Z) represent the ...
B.-W. Shen
doaj   +1 more source

Population dynamics in a Leslie–Gower predator–prey model with predator harvesting at high densities

Mathematical Methods in the Applied Sciences, Volume 48, Issue 1, Page 804-838, 15 January 2025.
In this paper, we propose a Leslie–Gower predator–prey model in which the predator can only be captured when its population size exceeds a critical value; the mean growth rate of the prey in the absence of the predator is subject to a semi‐saturation rate that affects its birth curve, and the interaction between the two species is defined by a Holling ...
Christian Cortés García
wiley   +1 more source

Ground-state sign-changing homoclinic solutions for a discrete nonlinear p-Laplacian equation with logarithmic nonlinearity

Boundary Value Problems
By using a direct non-Nehari manifold method from (Tang and Cheng in J. Differ. Equ. 261:2384–2402, 2016), we obtain an existence result of ground-state sign-changing homoclinic solutions that only changes sign once and ground-state homoclinic solutions ...
Xin Ou, Xingyong Zhang
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Large‐Signal Synchronisation Analysis of Phase‐Locked Loop‐Based Reactive Current Injection Under Weak Grids

IET Generation, Transmission &Distribution, Volume 19, Issue 1, January/December 2025.
1. The reactive current injection system has infinite saddle points, and for every saddle point, there are two special lines (the blue lines in Figure 2). When the initial states are situated on the special lines, the final states of the reactive current injection will converge to the saddle points. 2.
Shuaishuai Lv, Kunpeng Shen, Zhiyong Dai, Guangqi Li, Yongheng Yang, Guoqing Wang, Yue Wang, Jinlin Xiong   +7 more
wiley   +1 more source

Homoclinic solutions of discrete nonlinear Schrodinger equations with partially sublinear nonlinearities

Electronic Journal of Differential Equations, 2019
We consider a class of discrete nonlinear Schrodinger (DNLS) equations in m dimensional lattices with partially sublinear nonlinearity f. Combining variational methods and a priori estimate, we give a general sufficient condition on f for type (A ...
Genghong Lin, Jianshe Yu, Zhan Zhou
doaj  

Effects of Alumina–Tantalum Hybrid Nanofragment on Engine Oil Flow Using a New Local Thermal Nonequilibrium Formulation

Complexity, Volume 2025, Issue 1, 2025.
The aim of this work is to study the alumina–tantalum/motor oil hybrid nanoliquid flow in a porous cavity subjected to a uniform magnetic field. We have used the Darcy–Bénard convection model for the momentum equation and a new local thermal nonequilibrium formulation for heat transport.
Sèmako Justin Dèdèwanou, Thierno Mamadou Pathé Diallo, Mamadou Billo Doumbouya, Facinet Camara, Mariama Ciré Sylla, Famah Traoré, Hodévèwan Clément Miwadinou, Amoussou Laurent Hinvi, Adjimon Vincent Monwanou, Jesus Manuel Munoz-Pacheco   +9 more
wiley   +1 more source

Solitary Wave Solutions and Modulation Instability of First‐ and Second‐Order Benjamin–Ono Fluid Dynamics Models With Applications

Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.
The first‐ and second‐order wave equations of Benjamin–Ono control the propagation of nonlinear Rossby waves in a rotating fluid and define a broad class of internal waves in a stratified fluid of enormous depth. New solitary wave solutions and the modulation instability of the solutions for the first‐ and second‐order Benjamin–Ono partial differential
Wilson Osafo Apeanti, David Yaro, Saviour Worlanyo Akuamoah, Keshlan S. Govinder   +3 more
wiley   +1 more source

Multiwave, Kinky breathers and multi-peak soliton solutions for the nonlinear Hirota dynamical system

Results in Physics, 2020
The multi-wave solutions for nonlinear Hirota equation are obtained using logarithmic transformation and symbolic computation using the function method.
K. El-Rashidy, Aly R. Seadawy, Saad Althobaiti, M.M. Makhlouf   +3 more
doaj   +1 more source

New Solutions of Breaking Soliton Equation Using Softmax Method

Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.
This study presents the application of a novel Softmax method to obtain exact analytical solutions of the breaking soliton equation, a nonlinear partial differential equation that models complex wave phenomena. By transforming the governing equation into an ordinary differential equation using a traveling wave transformation and constructing a solution
Nguyen Minh Tuan, Phayung Meesad, Nguyen Hong Son, Kannan Krithivasan   +3 more
wiley   +1 more source

Homoclinic solutions for a class of second order non-autonomous systems

Electronic Journal of Differential Equations, 2009
This article concerns the existence of homoclinic solutions for the second order non-autonomous system $$ ddot q+A dot q-L(t)q+W_{q}(t,q)=0, $$ where $A$ is a skew-symmetric constant matrix, $L(t)$ is a symmetric positive definite matrix depending ...
Ziheng Zhang, Rong Yuan
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