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INVERSE SCATTERING TRANSFORM FOR A NONAUTONOMOUS TODA HIERARCHY FLOW
We investigate a nonautonomous system generated by a timedependent linear combination of two commuting Toda hierarchy flows. Using the inverse scattering transform, we establish the Lax representation and determine the time evolution of the scattering data. Explicit formulas for the reflection...
3 October 2026, 22:12
TRACE FORMULAS FOR THE PERIODIC ABLOWITZ–LADIK SPECTRAL PROBLEM
We study the periodic Ablowitz-Ladik spectral problem under the focusing reduction. The associated hyperelliptic spectral curve and auxiliary divisor are constructed from the monodromy matrix. Trace formulas and spatialshift relations connecting the periodic potential with the spectral data are...
3 October 2026, 22:11
RAPIDLY DECREASING SOLUTIONS OF THE NEGATIVE ORDER MODIFIED KORTEWEG-DE VRIES EQUATION
In this work, an algorithm for constructing solutions to the negative order modified Korteweg–de Vries equation is proposed, based on the application of the inverse scattering theory to the Zakharov–Shabat system. Within the framework of the developed algorithm, an explicit one-soliton solution of...
3 October 2026, 22:10
CONFIGURATION-DEPENDENT ELECTRONIC STRUCTURE OF OXYGEN-VACANCY- AND TE-RELATED DEFECTS IN Α-AL2O3: A FIRSTPRINCIPLES STUDYAuthor information
Using DFT (GGA-PBE), we calculate the electronic structureofa120-atom α-Al2O3 supercell for four defect families: Frenkel-pair-like defects, oxygen vacancies, vacancies around an interstitial Te atom, and substitution of O by Te. The pristine gap is 6.17 eV. Oxygen vacancies narrow the gap...
3 October 2026, 22:09
SRIM/TRIM SIMULATION OF ION-BEAM MODIFICATION OF ZrO2 - BASED CERAMIC MEMBRANES WITH Ag AND Au IONS
Implantation of 50–2000 keV silver and gold ions into zirconiabased ceramic membranes was simulated by the Monte Carlo method in the binary collision approximation on the physical basis of SRIM/TRIM. Stopping powers, projected ranges (19–338 nm for Ag and 16–231 nm for Au), vacancies per ion (up to...
3 September 2026, 22:15
PHASE TRANSFORMATIONS AND X-RAY DIFFRACTION PATTERNS IN THE SI-MN SYSTEM
In this study, the phase composition and crystallization kinetics of a Si-Mn heterosystem synthesized on single-crystal silicon substrates via hightemperature thermal vacuum diffusion were comprehensively investigated as a function of annealing temperature (600-1200o C) using X-ray diffraction...
3 September 2026, 22:14
ANALYSIS OF STRUCTURAL CHANGES IN NEODYMIUM -DOPED SILICON BY RAMAN SPECTROSCOPY
In this work, structural changes arising from the doping of p-type silicon (KDB-48, ρ=48 Ω·cm) single crystals with neodymium (Nd) atoms by thermal diffusion were studied using Raman spectroscopy. Samples were diffused in vacuum quartz ampoules at 1300o C for 10 hours and prepared by rapid cooling....
3 September 2026, 22:13
NUMERICAL ALGORITHMS AND SOFTWARE FOR FINITE ELEMENT ANALYSIS OF TWO-DIMENSIONAL ELASTICITY PROBLEMS
The paper presents a numerical comparison of linear and quadratic quadrilateral finite elements for two-dimensional elasticity problems. The analysis considers the accuracy of displacement and stress calculations as the finite element mesh is refined. For each mesh, the boundary-value problem is...
3 September 2026, 22:12
HYDROTHERMAL SYNTHESIS OF TIO₂ NANOTUBES: EFFECTS OF HCL TREATMENT TIME AND ANNEALING TEMPERATURE ON CRYSTAL STRUCTURE, MORPHOLOGY, AND OPTICAL PROPERTIES
TiO₂ nanotubes structures were synthesized by alkaline hydrothermal treatment of commercial TiO₂ powder, followed by HCl treatment and thermal annealing. The effects of acid-treatment time and annealing temperature on the structural, morphological, and optical properties were investigated by XRD,...
3 September 2026, 22:11
THERMIONIC EMISSION PROPERTIES OF OXIDIZED HAFNIUM, ZIRCONIUM, TITANIUM, AND NIOBIUM IN A BARIUM ATOM FLUX
This paper investigates the thermionic emission and adsorption properties of oxidized transition metals (Hf, Zr, Ti, and Nb) exposed to a flux of barium atoms. The surface cleanliness and oxidation kinetics were monitored using Auger electron spectroscopy under ultra-high vacuum conditions. The...
3 August 2026, 22:13