Results 41 to 50 of about 4,920,416 (295)
A Group Theory Approach towards Some Rational Difference Equations
Journal of Mathematics, 2019 A full Lie point symmetry analysis of rational difference equations is performed. Nontrivial symmetries are derived, and exact solutions using these symmetries are obtained.
Mensah Folly-Gbetoula +2 more
doaj +1 more source
Conservation laws, symmetry reductions, and exact solutions of some Keller–Segel models
Advances in Difference Equations, 2018 In this paper, three Keller–Segel models are considered from the point of Lie symmetry analysis, conservation laws, symmetry reduction, and exact solutions. By means of Lie symmetry analysis, we first obtain all the symmetries for the three models. Based
Lihua Zhang, Fengsheng Xu
doaj +1 more source
Iterations of the nonclassical symmetries and conditional Lie-Bäcklund symmetries
, 1996 Iterations of the non-classical symmetries method give rise to new nonlinear equations, which inherit the Lie point symmetry algebra of the original equation. Invariant solutions of these heir equations supply new solutions of the original equation.
NUCCI, Maria Clara
core +1 more source
Artificial molecular machines and motors—Design and control of nanoscale motion
FEBS Letters, EarlyView.Molecules are constantly moving because of thermal fluctuations, but random motion alone cannot be exploited to perform directional tasks. Artificial molecular machines use chemical, electrical, or light energy to bias this motion. Molecular shuttles, rotary motors, and supramolecular pumps illustrate how nanoscale movement can be controlled and ...
Leonardo Andreoni, Alberto Credi
wiley +1 more source
Lie analysis, conserved quantities and solitonic structures of Calogero-Degasperis-Fokas equation
Alexandria Engineering Journal, 2021 The paper investigates Calogero-Degasperis-Fokas (CDF) equation, an exactly solvable third order nonlinear evolution equation (Fokas, 1980). All possible functions for the unknown function F(ν) in the considered equation are listed that contains the ...
Adil Jhangeer +5 more
doaj +1 more source
Lie Point Symmetry Data Augmentation for Neural PDE Solvers
CoRR, 2022 Published at ICML 2022, Github: https://github.com/brandstetter-johannes ...
Johannes Brandstetter +2 more
openaire +4 more sources
FEBS Letters, EarlyView.Heterodimeric amino acid transporters consist of SLC7 and SLC3 family proteins arranged in a conserved structural organization. They regulate nutrient transport across cell membranes, supporting essential cellular functions. These transporters also contribute to xenobiotic/drug uptake and distribution.
Mariafrancesca Scalise +5 more
wiley +1 more source
FEBS Open Bio, EarlyView.UiO‐66(Zr) metal–organic frameworks are chemically stable, biocompatible, and highly tunable nanomaterials. Their modular structure enables controlled drug delivery, multimodal bioimaging, and light‐activated photodynamic therapy, supporting integrated diagnostic and therapeutic (theranostic) applications in cancer and biomedical research.
Veronika Huntošová +2 more
wiley +1 more source
Boundary Value Problems, 2017 The symmetry analysis method is used to study the Drinfeld-Sokolov-Wilson system. The Lie point symmetries of this system are obtained. An optimal system of one-dimensional subalgebras is derived by using Ibragimov’s method.
Yufeng Zhang, Zhonglong Zhao
doaj +1 more source
Lie-Point Symmetries Preserved by Derivative
Geometry Integrability and Quantization, 2020 Conditions to guarantee that a point symmetry X of an nth-order differential equation q(n) − ω = 0 is simultaneously a point symmetry of its derived equation q(n+1) − ω = 0 are analyzed, and the possible types of vector fields established. It is further shown that only the simple Lie algebra sl(2, R) for a very specific type of realization in the plane
openaire +2 more sources