Results 41 to 50 of about 403 (167)

Optical solitons with DNA dynamics arising in oscillator-chain of Peyrard–Bishop model

Results in Physics, 2023
In this paper, we introduce the Noether approach for studying the Peyrard–Bishop (PB) DNA dynamic model equation. The Jacobi elliptic function expansion (JEFE) method is used to analyze this model.
A. Hussain, M. Usman, F.D. Zaman, S.M. Eldin   +3 more
doaj   +1 more source

Dynamical Behavior of Soliton Solutions and Bifurcation Analysis for the Time‐Fractional Akbota Equation With Beta Derivative

Engineering Reports, Volume 8, Issue 10, October 2026.
Exact soliton solutions of the time‐fractional Akbota equation with the beta derivative are obtained using three analytical methods. Bifurcation, stability, and phase‐plane analyses reveal stable and unstable equilibrium states, demonstrating controllable nonlinear wave dynamics with promising applications in optical fiber communication, nonlinear ...
S. M. Rayhanul Islam
wiley   +1 more source

On the exact and numerical solutions to a new (2 + 1)-dimensional Korteweg-de Vries equation with conformable derivative

Nonlinear Engineering, 2021
The aim of this paper is to introduce a novel study of obtaining exact solutions to the (2+1) - dimensional conformable KdV equation modeling the amplitude of the shallow-water waves in fluids or electrostatic wave potential in plasmas.
Özkan Yeşim Sağlam, Yaşar Emrullah, Çelik Nisa   +2 more
doaj   +1 more source

Polynomial Extrapolation Techniques for Accelerating Picard Iterations With Multigrid Solvers for Nonlinear Problems in Isogeometric Analysis

Numerical Linear Algebra with Applications, Volume 33, Issue 5, October 2026.
ABSTRACT Vector extrapolation techniques can be highly effective when used to accelerate the convergence of fixed‐point iterative methods, such as the Picard method. In this study, we investigate the numerical solution of nonlinear problems. Specifically, we address the nonlinear eigenvalue Bratu problem and the Monge–Ampère equation using a multigrid ...
Abdellatif Mouhssine, Ahmed Ratnani, Hassane Sadok   +2 more
wiley   +1 more source

New Jacobi Elliptic Function Solutions for the Zakharov Equations

Journal of Applied Mathematics, 2012
A generalized (G′/G)-expansion method is proposed to seek the exact solutions of nonlinear evolution equations. Being concise and straightforward, this method is applied to the Zakharov equations.
Yun-Mei Zhao
doaj   +1 more source

New Jacobi Elliptic Function Solutions for the Kudryashov-Sinelshchikov Equation Using Improved F-Expansion Method [PDF]

Mathematical Problems in Engineering, 2013
Based on the F-expansion method with a new subequation, an improved F-expansion method is introduced. As illustrative examples, some new exact solutions expressed by the Jacobi elliptic function of the Kudryashov-Sinelshchikov equation are obtained. When the modulusmof the Jacobi elliptic function is driven to the limits 1 and 0, some exact solutions ...
openaire   +2 more sources

Random Carbon Tax Policy and Investment Into Emission Abatement Technologies

Mathematical Finance, Volume 36, Issue 4, Page 804-825, October 2026.
ABSTRACT We analyze the problem of a profit‐maximizing electricity producer, subject to carbon taxes, who decides on investments into CO2$\rm CO_2$ abatement technologies. We assume that the carbon tax policy is random and that the investment in the abatement technology is divisible, irreversible, and subject to transaction costs.
Katia Colaneri, Rüdiger Frey, Verena Köck   +2 more
wiley   +1 more source

The (G′/G)-expansion method for solving a nonlinear PDE describing the nonlinear low-pass electrical lines

Journal of Taibah University for Science, 2019
In this paper, we apply the (G′/G)-expansion method based on three auxiliary equations, namely, the generalized Riccati equation $ G^{\prime}(\xi ) = r + pG(\xi ) + q{G^2}(\xi ) $ , the Jacobi elliptic equation $ {({G^{\prime}(\xi )} )^2} = R + Q{G^2 ...
Ayad M. Shahoot, Khaled A. E. Alurrfi, Mohamed O. M. Elmrid, Ali M. Almsiri, Abdullah M. H. Arwiniya   +4 more
doaj   +1 more source

Machine‐Learning‐Enhanced Printed Vertical Magnetoresistive Sensors for Transparent, Flexible, Multimodal Interactive Magnetoelectronics

Advanced Science, Volume 13, Issue 50, 7 September 2026.
This study presents printed magnetoresistive sensors with a vertically aligned architecture that enables high optical transparency and mechanical flexibility. By integrating deep learning for the analysis of complex spatiotemporal signal patterns, the system further achieves intelligent multimodal interaction capabilities.
Rui Xu, Guannan Mu, Oleksandr V. Pylypovskyi, Qihao Zhang, Rico Illing, René Hübner, Ran He, Andreas Knüpfer, Sebastian Lehmann, Olha Bezsmertna, Kornelius Nielsch, Denys Makarov   +11 more
wiley   +1 more source

Key Technical Fields and Future Outlooks of Space Manipulators: A Survey

SmartBot, Volume 2, Issue 3, September 2026.
This paper systematically reviews the technological development of space manipulators, emphasizing the unique challenges posed by space environments. It examines four areas: structural design, modeling, planning, and control, while introducing typical ground test platforms.
Gang Chen, Zeyuan Huang, Ying Yan, Xiaokang An, Zhikai Zhao, Jirong Lin, Xiangrong Zhao, Xianyuan Gao, Junyi Zong, Xuewen Jia, Zhipeng Yao, Jianliang Liao, Ning Ji   +12 more
wiley   +1 more source