Results 31 to 40 of about 23,176 (145)

A comparison theorem for nonsmooth nonlinear operators

, 2019
We prove a comparison theorem for super- and sub-solutions with non-vanishing gradients to semilinear PDEs provided a nonlinearity $f$ is $L^p$ function with $p > 1$.
Kozlov, Vladimir, Nazarov, Alexander
core   +1 more source

New solitary wave solutions of (3 + 1)-dimensional nonlinear extended Zakharov-Kuznetsov and modified KdV-Zakharov-Kuznetsov equations and their applications

Results in Physics, 2017
In this paper, new exact solitary wave, soliton and elliptic function solutions are constructed in various forms of three dimensional nonlinear partial differential equations (PDEs) in mathematical physics by utilizing modified extended direct algebraic ...
Dianchen Lu, A.R. Seadawy, M. Arshad, Jun Wang   +3 more
doaj   +1 more source

Construction of diverse water wave structures for coupled nonlinear fractional Drinfel’d-Sokolov-Wilson model with Beta derivative and its modulus instability

Scientific Reports, 2023
This paper aims to analyze the coupled nonlinear fractional Drinfel’d-Sokolov-Wilson (FDSW) model with beta derivative. The nonlinear FDSW equation plays an important role in describing dispersive water wave structures in mathematical physics and ...
Muhammad Shakeel, Salman A. AlQahtani, Muhammad Junaid U Rehman, Grzegorz Kudra, Jan Awrejcewicz, Abdulaziz M. Alawwad, Abdullilah A. Alotaibi, Mejdl Safran   +7 more
doaj   +1 more source

Solar and Wind Quantity 24 h—Series Prediction Using PDE-Modular Models Gradually Developed according to Spatial Pattern Similarity

Energies, 2023
The design and implementation of efficient photovoltaic (PV) plants and wind farms require a precise analysis and definition of specifics in the region of interest. Reliable Artificial Intelligence (AI) models can recognize long-term spatial and temporal
Ladislav Zjavka
doaj   +1 more source

New soliton solution to the longitudinal wave equation in a magneto-electro-elastic circular rod

Results in Physics, 2018
This paper examines the effectiveness of an integration scheme which called the extended trial equation method (ETEM) in exactly solving a well-known nonlinear equation of partial differential equations (PDEs).
Aly R. Seadawy, Jalil Manafian
doaj   +1 more source

Regularity of time-periodic solutions to autonomous semilinear hyperbolic PDEs

Journal of Mathematical Analysis and Applications
22 ...
Kmit, Irina, Recke, Lutz
openaire   +3 more sources

New applications of the fractional derivative to extract abundant soliton solutions of the fractional order PDEs in mathematics physics

Partial Differential Equations in Applied Mathematics
The motive of this research work is to unravel the mysteries of nature through fractional-order partial differential equations (PDEs). Here, we focus on two important fractional order nonlinear PDEs, namely the fractional order (4+1)-dimensional Fokas ...
M. Ashik Iqbal, M. Mamun Miah, H. M. Shahadat Ali, Nur Hasan Mahmud Shahen, Ahmed Deifalla   +4 more
doaj   +1 more source

Periodic motions galore: How to modify nonlinear evolution equations so that they feature a lot of periodic solutions

, 2002
A simple trick is illustrated, whereby nonlinear evolution equations can be modified so that they feature a lot - or, in some cases, only -- periodic solutions.
Calogero, F., Francoise, J-P
core   +2 more sources

Spatial‐Wavelength Multiplexing Error‐Controlled Photonic Analog Computing System

Advanced Science, EarlyView.
A novel photonic integrated circuit prototype implementing the concept of general‐purpose analog computing and demonstrate its capability in radio frequency applications. The chip features a multichannel architecture and performs fully optical analog computation with frequency‐domain parallel processing. An FPGA‐based error‐correction algorithm aims to
Tao Zhu, Bowen Zhu, Shicheng Zhang, Keren Li, Xianchen Wu, Yazhi Pi, Jie Yan, Daigao Chen, Bingli Guo, Xi Xiao, Lei Wang, Xiaochuan Xu, Xuwei Xue, Shanguo Huang, Zizheng Cao, Shaohua Yu   +15 more
wiley   +1 more source

Self‐Assisted Charge Storage‐Release Mechanism Enabling Flexible Design of Biomimetic Triboelectric Nanogenerators

Advanced Science, EarlyView.
Inspired by the mimosa, this study develops a flexible triboelectric nanogenerator with a novel microneedle array and battery‐mimetic architecture. The device introduces a spontaneous charge self‐regulation mechanism that confines the electric field below the air breakdown threshold, and achieves an outstanding charge density of 396.50 µC m−2 ...
Hanpeng Gao, Yamin Hu, Li Li, Ana Sofia Oliveira Henriques Moita, Xi Wang, Zong Meng, Zhiwu Han, Yan Liu   +7 more
wiley   +1 more source