Results 51 to 60 of about 28,275 (337)

Rigid body trajectories in different 6D spaces [PDF]

, 2012
The objective of this paper is to show that the group SE(3) with an imposed Lie-Poisson structure can be used to determine the trajectory in a spatial frame of a rigid body in Euclidean space.
Biggs, James, BIGGS, JAMES DOUGLAS, Biggs, J, Linton, C, Linton, Carol, Holderbaum, William, Holderbaum, W   +6 more
core   +1 more source

Invariant Solutions and Conservation Laws of the Time-Fractional Telegraph Equation

Advances in Mathematical Physics, 2023
In this study, the Lie symmetry analysis is given for the time-fractional telegraph equation with the Riemann–Liouville derivative. This equation is useable to describe the physical processes of models possessing memory.
Ramin Najafi, Ercan Çelik, Neslihan Uyanık   +2 more
doaj   +1 more source

LIE SYMMETRY ANALYSIS TO FISHER'S EQUATION WITH TIME FRACTIONAL ORDER

Journal of Applied Analysis & Computation, 2020
Summary: The aim of this letter is to apply the Lie group analysis method to the Fisher's equation with time fractional order. We considered the symmetry analysis, explicit solutions to the time fractional Fisher's(TFF) equations with Riemann-Liouville (R-L) derivative.
Wang, Zhenli, Zhang, Lihua, Liu, Hanze
openaire   +1 more source

Higher-dimensional automorphic lie algebras

, 2016
The paper presents the complete classification of Automorphic Lie Algebras based on sln(C)sln(C) , where the symmetry group G is finite and acts on sln(C)sln(C) by inner automorphisms, sln(C)sln(C) has no trivial summands, and where the poles are in ...
Sanders, Jan, Sara Lombardo (4425862), Knibbeler, Vincent; id_orcid, Sara Lombardo, Jan A. Sanders, Knibbeler, Vincent, Vincent Knibbeler (4742670), Jan A Sanders (8467083), Lombardo, Sara, Sanders, Jan A., Lombardo, Sara; id_orcid, Vincent Knibbeler   +11 more
core   +1 more source

Structural identifiability analysis via symmetries of differential equations [PDF]

, 2009
Results and derivations are presented for the generation of a local Lie algebra that represents the 'symmetries' of a set of coupled differential equations.
Yates, James W. T., Chappell, M. J. (Michael J.), Evans, Neil D.   +2 more
core   +1 more source

Hyperactive ice‐binding proteins stabilize cell membranes and improve resistance to dehydration stress in Caenorhabditis elegans

FEBS Open Bio, EarlyView.
TisIBP8, a fungal‐derived hyperactive ice‐binding protein, helps Caenorhabditis elegans survive dehydration. It localizes near cell membranes, reduces cell damage, and helps maintain membrane structure during drying. These results suggest that ice‐binding proteins can protect cells from dehydration stress as well as freezing stress.
Daiki Shimose, Kotaro Ozaki, Ryohei Kuriyama, Yuka Ikemoto, Kazuhiro Mio, Yuji C. Sasaki, Tatsuya Arai, Sakae Tsuda, Yoichi Shinkai, Masahiro Kuramochi   +9 more
wiley   +1 more source

Group Classification and Symmetry Reduction of a (1+1)-Dimensional Porous Medium Equation

AppliedMath
In this paper, we present Lie symmetry analysis of a generalized (1+1)-dimensional porous medium equation characterized by parameters m and d. Through group classification, we examine how these parameters influence the Lie symmetry structure of the ...
Polokwane Charles Makibelo, Winter Sinkala, Lazarus Rundora   +2 more
doaj   +1 more source

Symmetry Analysis and Exact Solutions to the Space-Dependent Coefficient PDEs in Finance

Abstract and Applied Analysis, 2013
The variable-coefficients partial differential equations (vc-PDEs) in finance are investigated by Lie symmetry analysis and the generalized power series method. All of the geometric vector fields of the equations are obtained; the symmetry reductions and
Hanze Liu
doaj   +1 more source

A (2+1)-dimensional Kadomtsev–Petviashvili equation with competing dispersion effect: Painlevé analysis, dynamical behavior and invariant solutions

Results in Physics, 2021
In this paper, we concern ourselves with the nonlinear Kadomtsev–Petviashvili equation (KP) with a competing dispersion effect. First we examine the integrability of governing equation via using the Painlevé analysis.
Sandeep Malik, Hassan Almusawa, Sachin Kumar, Abdul-Majid Wazwaz, M.S. Osman   +4 more
doaj   +1 more source

Operators of finite rank in unitary representations of exponential Lie groups

, 1982
Poguntke D. Operators of finite rank in unitary representations of exponential Lie groups. Mathematische Annalen.
Poguntke, Detlev
core   +1 more source