Results 121 to 130 of about 530,977 (309)

Lie symmetry analysis and explicit solutions of the time fractional fifth-order KdV equation.

open access: yesPLoS ONE, 2014
In this paper, using the Lie group analysis method, we study the invariance properties of the time fractional fifth-order KdV equation. A systematic research to derive Lie point symmetries to time fractional fifth-order KdV equation is performed.
Gang Wei Wang, Tian Zhou Xu, Tao Feng
doaj   +1 more source

Contributions to the Algorithmic Foundations of Approximate Lie Symmetry Algebras of Differential Equations [PDF]

open access: yesarXiv
Lie symmetry transformations that leave a differential equation invariant play a fundamental role in science and mathematics. Such Lie symmetry groups uniquely determine their Lie symmetry algebras. Exact differential elimination algorithms have been developed to determine the dimension and structure constants of the Lie symmetry algebra of an exact ...
arxiv  

Nanoscale Agglomeration Mechanisms of BF‐DPB:BPyMPM Donor–Acceptor Systems for Organic Optoelectronic Devices

open access: yesAdvanced Functional Materials, EarlyView.
The intermolecular and molecule‐substrate interactions and resulting molecular assembly of the OLED and OPV donor and acceptor molecules BF‐DPB and BPyMPM are investigated on different single crystalline substrates using high‐resolution scanning probe microscopy.
Milena Merkel   +8 more
wiley   +1 more source

Lie analysis, conserved quantities and solitonic structures of Calogero-Degasperis-Fokas equation

open access: yesAlexandria 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  

Effects of Chemical Pressure on Superconductivity in Electrochemically Intercalated (TMA)yFe2(Se1−xSx)2 (TMA = Tetramethylammonium)

open access: yesAdvanced Functional Materials, EarlyView.
Intercalation of a series of FeSe1−xSx host crystals with tetramethylammonium cations (TMA+) linearly scales the critical temperature Tc from 43 K down to 28 K with increasing sulfur incorporation. The chemical pressure induced by the partial substitution shows a weakening of the superconducting properties in both hosts and intercalates in a remarkably
Nadine Lammer   +3 more
wiley   +1 more source

On Lie point symmetries in differential games [PDF]

open access: yes
A technique to determine closed-loop Nash equilibria of n-player differential games is developed when their dynamic state-control system is composed of decoupled ODEs.
A. Palestini
core  

Loop Algebra Symmetries and Commuting Flows for the Kadomtsev-Petviashvili Hierarchy [PDF]

open access: yesarXiv, 1994
The relation between the $\widehat\gl(\infty)$ symmetry of the Kadomtsev-Petviashvili hierarchy and the Kac-Moody-Virasoro Lie point symmetries of the individual equations is established. The Lie point symmetries are shown to be the only local ones.
arxiv  

Advances in Radiative Heat Transfer: Bridging Far‐Field Fundamentals and Emerging Near‐Field Innovations

open access: yesAdvanced Functional Materials, EarlyView.
This review synthesizes the evolution of radiative heat transfer, emphasizing the transition from far‐field to near‐field regimes. Traditional frameworks, such as Planck's law, are revisited alongside modern innovations like fluctuational electrodynamics. Applications span nanoscale thermal management, energy harvesting, and thermophotovoltaic systems.
Ambali Alade Odebowale   +6 more
wiley   +1 more source

Group classification of steady two-dimensional boundary-layer stagnation-point flow equations [PDF]

open access: yesarXiv, 2010
Lie symmetry group method is applied to study the boundary-layer equations for two-dimensional steady flow of an incompressible, viscous fluid near a stagnation point at a heated stretching sheet placed in a porous medium equation. The symmetry group and its optimal system are given, and group invariant solutions associated to the symmetries are ...
arxiv  

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