The paper presents new experimental data on the double-differential and integral (d, xd) reaction cross sections from the interaction of deuterons of 14.5 MeV energy with copper. The experiment was performed at the isochronous cyclotron of the Institute of Nuclear Physics, Kazakhstan. The experimental data were analysed within the framework of the TALYS-1.9 calculation code. ...

The coupled integrable dispersionless equations have a significant interest because of structure, integrability, and the possibility of obtaining a soliton solution. In this paper, we construct soliton surfaces for integrable dispersionless equation with self-consistent sources in Riemann space. The surfaces, arising from M-XXXII equation and their reduction in R3, are studied. ...

Soliton surfaces associated with integrable systems play a significant role in physics and mathematics. In this paper, we investigate the relationship between integrable equations and differential geometry of surface by the example of the Yajima-Oikawa equation. The integrability of nonlinear equations is understood as the existence their Lax representations. Using the ...

In this paper, we consider the (2+1)-dimensional complex modified Korteweg-de Vries and Maxwell-Bloch (cmKdVMB) equations. Lax pairs of cmKdVMB equations are presented. Using the Lax pair, we construct a Darboux transformation and namely one-fold transformations. The soliton solutions are obtained from the different ”seeds” by using this Darboux transformation.

Excavation of pits, trenches for foundations of civil buildings and industrial structures in saturated clayey soils often leads to soil structural change and great decrease in the soil strength and deformation characteristics. In some cases, an artificial sand base is used as a method for construction on saturated clayey soils. However, technology violations and unsuitable ...