Results 61 to 70 of about 340,400 (255)

Exploring Dipolar Dynamics and Ionic Transport in Metal‐Organic Frameworks: Experimental and Theoretical Insights

Advanced Functional Materials, EarlyView.
In this study, the interplay of dipolar dynamics and ionic charge transport in MOF compounds is investigated. Synthesizing the novel structure CFA‐25 with integrated freely rotating dipolar groups, local and macroscopic effects, including interactions with Cs cations are explored.
Ralph Freund, Arthur Schulz, Peter Lunkenheimer, Maryana Kraft, Thomas Bergler, Harald Oberhofer, Dirk Volkmer   +6 more
wiley   +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

Lie symmetry analysis and exact solutions of the quasi-geostrophic two-layer problem

, 2010
The quasi-geostrophic two-layer model is of superior interest in dynamic meteorology since it is one of the easiest ways to study baroclinic processes in geophysical fluid dynamics.
Alexander Bihlo, Bihlo A., Holton J. R., Ibragimov N. H., Katkov V. L., Katkov V. L., Meleshko S. V., Olver P. J., Ovsiannikov L. V., Polyanin A. D., Popovych H. V., Pukhnachov V. V., Roman O. Popovych   +12 more
core   +1 more source

Intermolecular Interactions as Driving Force of Increasing Multiphoton Absorption in a Perylene Diimide‐Based Coordination Polymer

Advanced Functional Materials, EarlyView.
This study uncovers the unexplored role of intermolecular interactions in multiphoton absorption in coordination polymers. By analyzing [Zn2tpda(DMA)2(DMF)0.3], it shows how the electronic coupling of the chromophores and confinement in the MOF enhance two‐and three‐photon absorption.
Simon Nicolas Deger, Anna Mauri, Yang Cui, Sebastian Josef Weishäupl, Ali Deniz Özdemir, Hamad Syed, Aleksandr Ovsianikov, Wolfgang Wenzel, Alexander Pöthig, Jürgen Hauer, Mariana Kozlowska, Roland Augustinus Fischer   +11 more
wiley   +1 more source

Lie group analysis and its invariants for the class of multidimensional nonlinear wave equations

Nonlinear Analysis
We systematically classify Lie symmetries of a class of (2 + 1)-dimensional nonlinear wave equations. Our methodology proposes a symmetry classification for Lie generators applicable to four distinct cases inherent within this equation.
Akhtar Hussain, Muhammad Usman, Fiazuddin Zaman, Ahmed M. M. Zidan   +3 more
doaj   +1 more source

Classification of Lie point symmetries for quadratic Li$\acute{\textbf{e}}$nard type equation $\ddot{x}+f(x)\dot{x}^2+g(x)=0$

, 2013
In this paper we carry out a complete classification of the Lie point symmetry groups associated with the quadratic Li$\acute{e}$nard type equation, $\ddot {x} + f(x){\dot {x}}^{2} + g(x)= 0$, where $f(x)$ and $g(x)$ are arbitrary functions of $x$.
Lakshmanan, M., Pandey, S. N., Senthilvelan, M., Tiwari, Ajey K.   +3 more
core   +1 more source

Analysis of granule cell generation system by lie symmetry method

Cumhuriyet Science Journal, 2020
In this paper, we study main headlines of brain development which is a major problem in neurobiology in present. Our aim here is to find the analytical solution of the equation that belongs to the brain development system. For this solution, the exchange of cerebellum granule cells in EGL (External granule layer of the cerebellum) is discussed.
KOCABIYIK, MEHMET, YAKIT ONGUN, MEVLÜDE
openaire   +5 more sources

Understanding and Optimizing Li Substitution in P2‐Type Sodium Layered Oxides for Sodium‐Ion Batteries

Advanced Functional Materials, EarlyView.
This work explores Li‐substituted P2 layered oxides for Na‐ion batteries by crystallographic and electrochemical studies. The effect of lithium on superstructure orderings, on phase transitions during synthesis and electrochemical cycling and on the interplay of O‐ versus TM‐redox is revealed via various advanced techniques, including semi‐simultaneous 
Mingfeng Xu, Giovanni Gammaitoni, Michael Häfner, Eduardo Villalobos‐Portillo, Carlo Marini, Matteo Bianchini   +5 more
wiley   +1 more source

Exact Optical Solitons for Generalized Kudryashov’s Equation by Lie Symmetry Method

Journal of Mathematics, 2023
In this article, we use Lie point symmetry analysis to extract some new optical soliton solutions for the generalized Kudryashov’s equation (GKE) with an arbitrary power nonlinearity.
Rajagopalan Ramaswamy, E. S. El-Shazly, M. S. Abdel Latif, Amr Elsonbaty, A. H. Abdel Kader   +4 more
doaj   +1 more source