Results 31 to 40 of about 817 (182)

Dynamical structure of truncated M−fractional Klein–Gordon model via two integral schemes

Results in Physics, 2023
In this work, the Truncated M−fractional Klein–Gordon (tM-fKG) equation is integrated by implementing the exp(-ϕ(ξ))-expansion and new form of modified Kudryashov’s schemes.
Harun-Or-Roshid, Md. Mamunur Roshid, Mohammad Mobarak Hossain, M.S. Hasan, Md. Jahirul Haque Munshi, Anamul Haque Sajib   +5 more
doaj   +1 more source

Continuous limit, various exact solutions, kink soliton resonant phenomena and dynamical behaviors for a discrete Burgers equation

Results in Physics, 2022
The Burgers equation can describe some phenomena such as turbulence, shock wave and traffic flow dynamics problems. Under consideration in this paper is a discrete Burgers equation, which can be viewed as the discrete counterpart of Burgers equation ...
Ting Zhang, Xiao-Yong Wen, Zhe Lin
doaj   +1 more source

N-Lump to the (2+1)-Dimensional Variable-Coefficient Caudrey–Dodd–Gibbon–Kotera–Sawada Equation

Complexity, 2022
In this research, the (2 + 1)-dimensional (D) variable-coefficient (VC) Caudrey–Dodd–Gibbon–Kotera–Sawada model used in soliton hypothesis and implemented by operating the Hirota bilinear scheme is studied.
Junjie Li, Jalil Manafian, Aditya Wardhana, Ali J. Othman, Ismail Husein, Mohaimen Al-Thamir, Mostafa Abotaleb   +6 more
doaj   +1 more source

Exploring Propagating Soliton Solutions for the Fractional Kudryashov–Sinelshchikov Equation in a Mixture of Liquid–Gas Bubbles under the Consideration of Heat Transfer and Viscosity

Fractal and Fractional, 2023
In this research work, we investigate the complex structure of soliton in the Fractional Kudryashov–Sinelshchikov Equation (FKSE) using conformable fractional derivatives.
Rashid Ali, Ahmed S. Hendy, Mohamed R. Ali, Ahmed M. Hassan, Fuad A. Awwad, Emad A. A. Ismail   +5 more
doaj   +1 more source

Solitary wave analysis of the Kadomtsev–Petviashvili model in mathematical physics

Arab Journal of Basic and Applied Sciences, 2023
The (3 + 1)-dimensional Kadomtsev–Petviashvili equation has significant applications that emerge in the study of fluids and multi-component plasmas. The main object of our study is to investigate stable and efficient solitary solutions to the stated wave
Md. Ekramul Islam, Md. Motaleb Hossain, Khalifa Mohammad Helal, Udoy S. Basak, Rajandra Chadra Bhowmik, M. A. Akbar   +5 more
doaj   +1 more source

Polarization Dynamics in Ferroelectrics: Insights Enabled by Machine Learning Molecular Dynamics

Advanced Science, EarlyView.
Machine learning molecular dynamics is presented as a route to capture polarization switching, domain wall kinetics, topological polar textures, and polar mechanical coupling beyond the limits of conventional atomistic methods. This Perspective surveys recent progress and identifies key methodological directions, including long‐range electrostatics ...
Dongyu Bai, Ri He, Junxian Liu, Liangzhi Kou   +3 more
wiley   +1 more source

Thermal Control of Concentric Topographies Patterned by Dynamic Electro‐Templated Generated Chiral Solitonic Structures

Advanced Science, EarlyView.
An electro‐templating strategy directs the relaxation of cholesteric finger loops into discrete concentric rings whose geometry is electrically programmed. The photopolymerized structures retain the topological defect pattern and, upon heating, show reversible, castle‐like surface modulation.
Jacques A. Peixoto, Hanqing Zhao, Dirk J. Broer, Ivan I. Smalyukh, Danqing Liu   +4 more
wiley   +1 more source

The bilinear neural network method for solving Benney–Luke equation

Partial Differential Equations in Applied Mathematics
Benney–Luke equation, the estimation of water wave propagation on the water’s surface, is significantly important in studying the tension of water waves in physics.
Nguyen Minh Tuan, Sanoe Koonprasert, Sekson Sirisubtawee, Phayung Meesad   +3 more
doaj   +1 more source

Thin‐film lithium niobate photonics: Frontiers in millimeter‐wave and terahertz generation and integrated applications

InfoScience, EarlyView.
With the advancement of 6G communications, high‐precision radar, and advanced imaging technologies, there is a growing demand for compact, high‐performance light sources capable of generating high‐frequency radio waves (millimeter‐wave and terahertz waves). This article systematically introduces how to efficiently generate these high‐frequency waves on
Jianfeng Xiong, Zhenyu Wang, Xu Li, Guo Tang, Sizhe Wang, Jiyuan Huang, Guochao Wang, Shuhua Yan, Wenzhao Sun   +8 more
wiley   +1 more source

Deterministic Fiber‐Optic Spectral Engineering Enables Three‐Color Multiplexed Two‐Photon Microscopy

Laser &Photonics Reviews, EarlyView.
A simulation‐guided spectral‐engineering framework maps the nonlinear parameter space of a fiber laser platform to identify balanced three‐band excitation states. The resulting 960, 1080, and 1175 nm femtosecond pulses deliver nJ‐level energies for low‐cross‐talk chromatically multiplexed two‐photon microscopy.
Marvin Edelmann, Andreu Matamoros‐Angles, Mohsin Shafiq, Mikhail Pergament, Franz X. Kärtner, Markus Glatzel   +5 more
wiley   +1 more source