Results 21 to 30 of about 4,191 (239)

Solitons and Other Exact Solutions for Two Nonlinear PDEs in Mathematical Physics Using the Generalized Projective Riccati Equations Method

Advances in Mathematical Physics, 2018
We apply the generalized projective Riccati equations method with the aid of Maple software to construct many new soliton and periodic solutions with parameters for two higher-order nonlinear partial differential equations (PDEs), namely, the nonlinear ...
A. M. Shahoot, K. A. E. Alurrfi, I. M. Hassan, A. M. Almsri   +3 more
doaj   +1 more source

Optimal Combination of EEFs for the Model Reduction of Nonlinear Partial Differential Equations

Journal of Applied Mathematics, 2013
Proper orthogonal decomposition is a popular approach for determining the principal spatial structures from the measured data. Generally, model reduction using empirical eigenfunctions (EEFs) can generate a relatively low-dimensional model among all ...
Jun Shuai, Xuli Han
doaj   +1 more source

Solving nonlinear elliptic partial differential equations in 2D using oscillatory radial basis functions collocation method

Partial Differential Equations in Applied Mathematics
Oscillatory radial basis functions collocation method (ORBF-CM) has been proven to be an effective meshless numerical method for solving various linear elliptic partial differential equations (PDEs). In general, solving nonlinear PDEs is a daunting task.
T. Dangal, A.R. Lamichhane, B. Khatri Ghimire   +2 more
doaj   +1 more source

Applications of Solvable Lie Algebras to a Class of Third Order Equations

Mathematics, 2022
A family of third-order partial differential equations (PDEs) is analyzed. This family broadens out well-known PDEs such as the Korteweg-de Vries equation, the Gardner equation, and the Burgers equation, which model many real-world phenomena. Furthermore,
María S. Bruzón, Rafael de la Rosa, María L. Gandarias, Rita Tracinà   +3 more
doaj   +1 more source

Nonlinear PDE's and recursive flows: theory

Applied Mathematics Letters, 1993
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Benno Fuchssteiner, LO SCHIAVO, Mauro
openaire   +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

The solutions of nonlinear fractional partial differential equations by using a novel technique

Open Physics, 2022
In this article, the solutions of higher nonlinear partial differential equations (PDEs) with the Caputo operator are presented. The fractional PDEs are modern tools to model various phenomena more accurately.
Alderremy Aisha Abdullah, Khan Hassan, Khan Qasim, Kumam Poom, Aly Shaban, Ahmad Said, Sitthithakerngkiet Kanokwan   +6 more
doaj   +1 more source

Nonlinear PDE's and recursive flows: applications

Applied Mathematics Letters, 1993
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Benno Fuchssteiner, LO SCHIAVO, Mauro
openaire   +3 more sources

Physical Implementation of Optical Material‐Based Neural Networks Processing Enabled by Long‐Persistent Luminescence

Advanced Science, EarlyView.
This study reports on the physical implementation of optical material‐based neural processing using long‐persistent luminescence as memory‐retention and nonlinear optical material. The system performs optical‐domain preprocessing with opto‐electronic interfaces for stimulus delivery and readout, enabling real‐time demonstrations including Pong gameplay
Sangwon Wi, Yunsang Lee
wiley   +1 more source

Are physiological oscillations physiological?

The Journal of Physiology, EarlyView., 2023
Abstract figure legend Mechanisms and functions of physiological oscillations. Abstract Despite widespread and striking examples of physiological oscillations, their functional role is often unclear. Even glycolysis, the paradigm example of oscillatory biochemistry, has seen questions about its oscillatory function.
Lingyun (Ivy) Xiong, Alan Garfinkel
wiley   +1 more source