Results 31 to 40 of about 111,630 (280)

Lie Group Analysis of a Flow with Contaminant-Modified Viscosity

Journal of Applied Mathematics, 2007
A class of coupled system of diffusion equations is considered. Lie group techniques resulted in a rich array of admitted point symmetries for special cases of the source term.
Raseelo J. Moitsheki
doaj   +1 more source

Lie point and variational symmetries in minisuperspace Einstein gravity [PDF]

Journal of Physics A: Mathematical and Theoretical, 2014
Latex source file 20 pages, no ...
Christodoulakis, T., Dimakis, N., Terzis, P.A.   +2 more
openaire   +3 more sources

Lie symmetry analysis, explicit solutions, and conservation laws of the time-fractional Fisher equation in two-dimensional space

Journal of Ocean Engineering and Science, 2022
In these analyses, we consider the time-fractional Fisher equation in two-dimensional space. Through the use of the Riemann-Liouville derivative approach, the well-known Lie point symmetries of the utilized equation are derived.
Rawya Al-Deiakeh, Omar Abu Arqub, Mohammed Al-Smadi, Shaher Momani   +3 more
doaj   +1 more source

Lie Point Symmetry and Physics Informed Networks

, 2023
Symmetries have been leveraged to improve the generalization of neural networks through different mechanisms from data augmentation to equivariant architectures. However, despite their potential, their integration into neural solvers for partial differential equations (PDEs) remains largely unexplored.
Akhound-Sadegh, Tara, Perreault-Levasseur, Laurence, Brandstetter, Johannes, Welling, Max, Ravanbakhsh, Siamak   +4 more
openaire   +2 more sources

Lie symmetries and reductions via invariant solutions of general short pulse equation

Frontiers in Physics, 2023
Around 1880, Lie introduced an idea of invariance of the partial differential equation (PDE) under one-parameter Lie group of transformation to find the invariant, similarity, or auto-model solutions.
Muhammad Mobeen Munir, Hajra Bashir, Muhammad Athar   +2 more
doaj   +1 more source

On Lie Symmetries of Hyperbolic Model Metric of SL(n, R) Geometry

پژوهش‌های ریاضی, 2020
Introduction ‎  Symmetries of an equation are closely related to conservation‎ laws‎. ‎Noether's theorem provides a method for finding conservation laws of differential‎ equations arising from a known Lagrangian and having a known Lie symmetry‎.
Rohollah Bakhshandeh Chamazkoti
doaj  

Symmetries of nonlinear ordinary differential equations: the modified Emden equation as a case study

, 2015
Lie symmetry analysis is one of the powerful tools to analyze nonlinear ordinary differential equations. We review the effectiveness of this method in terms of various symmetries. We present the method of deriving Lie point symmetries, contact symmetries,
Chandrasekar, V. K., Mohanasubha, R., Senthilvelan, M.   +2 more
core   +1 more source

Some symmetries, similarity solutions and various conservation laws of a type of dispersive water waves

Advances in Difference Equations, 2019
We investigate the point symmetries, Lie–Bäcklund symmetries for a type of dispersive water waves. We obtain some Lie transformation groups, various group-invariant solutions, and some similarity solutions.
Yufeng Zhang, Na Bai, Hongyang Guan
doaj   +1 more source

Lie Symmetry Analysis, Exact Solutions, and Conservation Laws for the Generalized Time-Fractional KdV-Like Equation

Journal of Function Spaces, 2021
In this paper, the problem of constructing the Lie point symmetries group of the nonlinear partial differential equation appeared in mathematical physics known as the generalized KdV-Like equation is discussed.
Maria Ihsane El Bahi, Khalid Hilal
doaj   +1 more source

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, Nkosingiphile Mnguni, A. H. Kara   +2 more
doaj   +1 more source