Results 91 to 100 of about 216,574 (277)

Elliptic Hypergeometric Solutions to Elliptic Difference Equations [PDF]

Symmetry, Integrability and Geometry: Methods and Applications, 2009
It is shown how to define difference equations on particular lattices $\{x_n\}$, $n\in\mathbb{Z}$, made of values of an elliptic function at a sequence of arguments in arithmetic progression (elliptic lattice). Solutions to special difference equations have remarkable simple interpolatory expansions.
openaire   +5 more sources

Unveiling Exsolution‐Induced Giant Electronic and Magnetic Property Changes in Non‐Stoichiometric Titanate Perovskite Thin Films

Advanced Materials, EarlyView.
A giant insulator to metal transition and emergent superparamagnetism are revealed by nanoparticle exsolution in non‐stoichiometric titanate perovskite thin films. By combining transport, synchrotron spectroscopy, and first‐principles calculations, this work reveals how defect reconfiguration and lattice reconstruction fundamentally reshape electronic ...
Sungil Kim, June Ho Lee, Yaolong Xing, Dongchang Kim, Haeseong Jeong, Mongjun Jeong, Manuel Valvidares, Stuart S. P. Parkin, Sang Ho Oh, Donghwa Lee, Hyojin Yoon, Hyeon Han   +11 more
wiley   +1 more source

Abundant Explicit and Exact Solutions for the Variable Coefficient mKdV Equations

Abstract and Applied Analysis, 2013
This paper is concerned with the variable coefficients mKdV (VC-mKdV) equation. First, through some transformation we convert VC-mKdV equation into the constant coefficient mKdV equation.
Xiaoxiao Zheng, Yadong Shang, Yong Huang
doaj   +1 more source

Computing all integer solutions of a genus 1 equation [PDF]

The Elliptic Logarithm Method has been applied with great successto the problem of computing all integer solutions of equations ofdegree 3 and 4 defining elliptic curves. We extend this methodto include any equation f(u,v)=0 that defines a curve of genus
Stroeker, R.J., Tzanakis, N.
core   +1 more source

Characterization and Antimicrobial Activity of Hafnium Nanostructures Fabricated by Physical Vapor Deposition Through a Colloidal Mask

Advanced Materials Interfaces, EarlyView.
We generate hafnium nanostructures by first depositing polystyrene particles of varying diameter followed by physical vapour deposition of hafnium thin films. The resultant structure shows a kill‐on‐contact effect against both Gram‐negative Escherichia coli and Gram‐positive Staphylococcus aureus.
Andrew Boden, Tzu‐Ying Liao, Tomas Katkus, Helmut Thissen, De Ming Zhu, Mrinal Bhave, Peter Kingshott   +6 more
wiley   +1 more source

Investigation of the solution of a boundary value problem with variable coefficients whose principal part is the Cauchy–Riemann equation

Қарағанды университетінің хабаршысы. Математика сериясы
This study is devoted to obtaining an analytical expression for the solution of a non-local boundary value problem for a linear inhomogeneous differential equation with variable coefficients, which principle part is the Cauchy–Riemann equation.
M. Rasulov, N. Aliyev, B. Sinsoysal
doaj   +1 more source

A Nonlinear Differential Equation Related to the Jacobi Elliptic Functions

International Journal of Differential Equations, 2012
A nonlinear differential equation for the polar angle of a point of an ellipse is derived. The solution of this differential equation can be expressed in terms of the Jacobi elliptic function dn(u,k).
Kim Johannessen
doaj   +1 more source

Exploring the Potential of Zero‐Dimensional Carbon Nanomaterials in Photoluminescent, Electrochemiluminescent and Electrochemical Sensors

Advanced Materials Interfaces, EarlyView.
Zero‐dimensional carbon nanomaterials are presented as multifunctional platforms linking structure, property, and sensing performance. Surface engineering and heteroatom doping modulate electron‐transfer and luminescent behavior, enabling electrochemical, photoluminescent, and electrochemiluminescent detection. Fundamental design principles, analytical
Gustavo Martins, Jeferson Luiz Gogola, Ava Gevaerd, Cristiane Kalinke, Paulo Roberto de Oliveira, Fabio Roberto Caetano, Bruno Campos Janegitz, Márcio Fernando Bergamini, Luiz Humberto Marcolino‐Junior   +8 more
wiley   +1 more source

Applications of the New Compound Riccati Equations Rational Expansion Method and Fan's Subequation Method for the Davey-Stewartson Equations

Boundary Value Problems, 2010
We used what we called extended Fan's sub-equation method and a new compound Riccati equations rational expansion method to construct the exact travelling wave solutions of the Davey-Stewartson (DS) equations.
Hassan Zedan
doaj   +1 more source

Energy Band Alignment and Electro‐Optical Behavior of Nearly Unstrained Monolayer MoS2 Heterostructures With GaN

Advanced Materials Interfaces, EarlyView.
Large size (∼100 µm) monolayer MoS2 grown by LPI‐CVD on n‐GaN exhibit a high n‐type doping, very low strain, and a type‐I band alignment at MoS2/GaN interface. Photocurrent measurements under illumination with photon energies from ∼2 to ∼5 eV show superior electro‐optical performances of these MoS2/n‐GaN heterojunctions as compared to Ni/n‐GaN devices ...
Salvatore Ethan Panasci, Emanuela Schilirò, Giuseppe Greco, Patrick Fiorenza, Fabrizio Roccaforte, Fiorenza Esposito, Igor Píš, Federica Bondino, Antonino Madonia, Marco Cannas, Simonpietro Agnello, Luca Seravalli, Filippo Giannazzo   +12 more
wiley   +1 more source