Soil moisture (SM) content is one of the most important environmental variables in relation to land surface climatology, hydrology, and ecology. Long-term SM data-sets on a regional scale provide reasonable information about climate change and global warming specific regions. The aim of this research work is to develop an integrated methodology for SM of kastanozems soils using multispectral satellite data. The study area is Tuv (48°40′30″N and 106°15′55″E) province in the forest steppe zones in Mongolia. In addition to this, land surface temperature (LST) and normalized difference vegetation index (NDVI) from Landsat satellite images were integrated for the assessment. Furthermore, we used a digital elevation model (DEM) from ASTER satellite image with 30-m resolution. Aspect and slope maps were derived from this DEM. The soil moisture index (SMI) was obtained using spectral information from Landsat satellite data. We used regression analysis to develop the model. The model shows how SMI from satellite depends on LST, NDVI, DEM, Slope, and Aspect in the agricultural area. The results of the model were correlated with the ground SM data in Tuv province. The results indicate that there is a good agreement between output SM and SM of ground truth for agricultural area. Further research is focused on moisture mapping for different natural zones in Mongolia. The innovative part of this research is to estimate SM using drivers which are vegetation, land surface temperature, elevation, aspect, and slope in the forested steppe area. This integrative methodology can be applied for different regions with forest and desert steppe zones.

We applied the dielectric function method to solve analytically L-NL-L structure problems with negative Kerr nonlinearity. A damped wave in linear and a periodic standing wave in non-linear media had to be matched at boundaries. We gave a formulation of boundary conditions that did not explicitly include a film thickness. The boundary-value of a dielectric function can be expressed through the constant of non-trivial integral of motion. Using it, one generates a family of matched solutions satisfying boundary conditions. Then arbitrary film thickness can be checked against this family of solutions in search of matches. As a result, all fitted solutions are determined straightforwardly.

The physical and chemical principles of the preparation of carbon nanoparticles (fullerenes, carbon nanotubes) and their complexes, and the methods for introducing nanoparticles into metal, ceramic and polymer matrices are considered. The most important properties of some materials containing these cluster molecules are given. It is shown that the introduction of carbon nanoparticles into materials, even in small fractions (up to 1.0 wt. %), significantly in some cases, at times alters their structure, electrical and tribological properties.

The results of investigation of mechanical, electrical, thermoelectric and tribological properties of metal-fullerene film composites of Ni-C60and Ti-C60systems is presented. It has been found that doping of metals with fullerenes leads to a significant increase in the strength of the material, and a change in the electrical, optical, and other properties of the material. It is established that metal-fullerene films are characterized by low friction coefficients and high wear resistance. It is experimentally shown that metal-fullerene composite thin films possess a capacitive impedance, that the thermopower of Ti-C60coatings reaches the value of 30 μV/K depending on the Ti/C60ratio.

In this Paper, we have dealt with two-axis twisting Hamiltonian for spin squeezing, which is experimentally implementable in Bose-Einstein Condensate, and have found an exact solution by two alternative methods. Many other important nonlinear Hamiltonians could also be solved exactly in a similar way.