Results 61 to 70 of about 4,072,499 (360)

Five-dimensional Monopole Equation with Hedge-Hog Ansatz and Abel's Differential Equation

, 2011
We review the generalized monopole in the five-dimensional Euclidean space. A numerical solution with the Hedge-Hog ansatz is studied. The Bogomol'nyi equation becomes a second order autonomous non-linear differential equation.
A. M. Polyakov, A. M. Polyakov, E. B. Bogomol’nyi, E. B. Bogomol’nyi, G. M. Murphy, Hironobu Kihara, N. H. Abel   +6 more
core   +1 more source

Capillary Dynamics Analysis of Millimetric Tubes for Anti‐Slip Surfaces: A Phase‐Field Based Finite Element Approach and Experimental Validation

Advanced Theory and Simulations, EarlyView.
Phase‐field method based numerical modelling of the capillary rise in millimeter‐sized tubes, aiming for anti‐slip applications. The experimental validation was performed through capillary assays in polyethylene oxide (PEO) bulk modified polydimethylsiloxane (PDMS) channels.
Shivam Sharma, Vipin Richhariya, Diana Pinho, Óscar Carvalho, Filipe S. Silva, Ashis Tripathy, Nuno Dourado, Susana O. Catarino   +7 more
wiley   +1 more source

Rota–Baxter (Co)algebra Equation Systems and Rota–Baxter Hopf Algebras [PDF]

, 2022
Yue Gu, Shuanhong Wang, Tianshui Ma
openalex   +1 more source

Factorization and Lie point symmetries of general Lienard-type equation in the complex plane

, 2010
We present a variational approach to a general Lienard-type equation in order to linearize it and, as an example, the Van der Pol oscillator is discussed. The new equation which is almost linear is factorized.
Andronov A A, Burton T A, Cornejo-Perez O, Estvez P G, Gazizov R K, Hale J K, Hua-Yan Z, Ibragimov N H, Ince E L, Kamel M M, Kreyszig E, Nayfeh A H, Sansone G, Özlem Yeşiltaş   +13 more
core   +1 more source

A Geometric Interpretation for the Algebraic Properties of Second‐Order Ordinary Differential Equations [PDF]

Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6912-6917, April 2025.
ABSTRACT Nowadays, a substantial portion of investigations concerning the symmetry analysis of differential equations predominantly adhere to a framework comprising the following key procedures: (i) the derivation of symmetries, (ii) the determination of an optimal system, (iii) the utilization of these symmetries to construct invariants or ...
Andronikos Paliathanasis, Sibusiso Moyo, P. G. L. Leach   +2 more
openalex   +2 more sources

Genome‐Wide by Lifetime Environment Interaction Studies of Brain Imaging Phenotypes

Advanced Science, EarlyView.
This study explores genome‐wide by lifetime environment interactions on brain imaging phenotypes. Gene‐environment interactions explain more phenotypic variance than main effects, pinpoint regulatory variants, and reveal exposure‐specific biological pathways.
Sijia Wang, Meiyun Wang, Peng Zhang, Jingliang Cheng, Longjiang Zhang, Wenzhen Zhu, Shijun Qiu, Zuojun Geng, Guangbin Cui, Yongqiang Yu, Weihua Liao, Xi‐Nian Zuo, Hui Zhang, Bo Gao, Xiaojun Xu, Tong Han, Zhenwei Yao, Quan Zhang, Feng Liu, Qiang Xu, Jiayuan Xu, Jilian Fu, Nana Liu, Yuan Ji, Jie Tang, Lining Guo, Mengge Liu, Xiaoxiao Xiao, Xiaoxuan Liu, Wei Li, Caihong Wang, Wei Wei, Dapeng Shi, Su Lui, Zhihan Yan, Feng Chen, Jing Zhang, Wen Shen, Yanwei Miao, Dawei Wang, Jia‐Hong Gao, Yunjun Yang, Kai Xu, Junfang Xian, Bing Zhang, Xiaochu Zhang, Zhaoxiang Ye, Le Yu, Wen Qin, Meng Liang, Chunshui Yu, the CHIMGEN Consortium   +51 more
wiley   +1 more source

Obtaining the soliton solutions of local M-fractional magneto-electro-elastic media

Heliyon, 2023
In this research paper, the generalized projective Riccati equations method (GPREM) is applied successfully to procure the soliton solutions of the local M-fractional longitudinal wave equation (LWE) arising in mathematical physics with dispersion caused
Neslihan Ozdemir, Aydin Secer, Muslum Ozisik, Mustafa Bayram   +3 more
doaj   +1 more source

Algebraic cutting equations [PDF]

Annals of Physics, 2018
33 pages, 16 figures; v2: minor changes, Ann ...
openaire   +3 more sources

A Perspective on Interactive Theorem Provers in Physics

Advanced Science, EarlyView.
Into an interactive theorem provers (ITPs), one can write mathematical definitions, theorems and proofs, and the correctness of those results is automatically checked. This perspective goes over the best usage of ITPs within physics and motivates the open‐source community run project PhysLean, the aim of which is to be a library for digitalized physics
Joseph Tooby‐Smith
wiley   +1 more source

A Collocation Method for Solving Fractional Riccati Differential Equation

Journal of Applied Mathematics, 2013
We have introduced a Taylor collocation method, which is based on collocation method for solving fractional Riccati differential equation with delay term.
Yalçın Öztürk, Ayşe Anapalı, Mustafa Gülsu, Mehmet Sezer   +3 more
doaj   +1 more source