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In this research, the (2 + 1)-dimensional (D) variable-coefficient (VC) Caudrey–Dodd–Gibbon–Kotera–Sawada model used in soliton hypothesis and implemented by operating the Hirota bilinear scheme is studied. A few modern exact analytical outcomes containing interaction between a lump-two kink soliton, interaction between two-lump, the interaction between two-lump soliton, lump-periodic, and lump-three kink outcomes for the (2 + 1)-D VC Caudrey–Dodd–Gibbon–Kotera–Sawada equation by Maple Symbolic packages are obtained. By employing Hirota’s bilinear technique, the extended soliton solutions according to bilinear frame equation are received. For this model, the contemplated model can be got by multi-D binary Bell polynomials (bBPs). In addition, the analytical analysis of the high-order soliton outcomes to present the discipline of outcomes. The effect of the free parameters on the behavior of acquired figures of a few obtained solutions for the nonlinear rational exact cases was also discussed. The above technique could also be employed to get exact solutions for other nonlinear models in physics, applied mathematics, and engineering.

Processing of tool materials for cutting applications presents challenges in additive manufacturing (AM). Processes must be carefully managed in order to promote the formation of favourable high-integrity ‘builds’. In this study, for the first time, a satelliting process is used to prepare a WCM-Co (12 wt.% Co) composite. Melting trials were undertaken to evaluate the consolidation behaviour of single tracks within a single layer. Tracks with continuous and relatively uniform surface morphology were obtained. These features are essential for high-quality AM builds in order to encourage good bonding between subsequent tracks within a layer which may reduce porosity within a 3D deposition. This study elucidates the formation of track irregularities, melting modes, crack sensitivity, and balling as a function of laser scanning speed and provides guidelines for future production of WCM-Co by laser powder-bed fusion.

In this study, structural theory was used to examine the geometric configuration of channels embedded inside an object in the presence of internal heat generation for cooling by a heat transfer mechanism. The growth and development of gas transmission lines and the lack of up-to-date integrated information systems have made the design and maintenance of pipelines, as well as the handling of problems caused by various accidents in the pipeline, very complex in many cases. Using accurate descriptive and spatial information in tolls on gas transmission line maps such as pipes, booster stations, valves, and forks in a spatial reference database can engage planners, operators, and paramedics in a variety of management. They are used to help in the direction of optimal and purposeful management. Therefore, in this paper, by considering appropriate laboratory conditions and numerical experiments and calculations, it is possible to determine the optimal attraction of duct holes for cooling components of the gas transmission system, so that the industry can produce and developed gas transmission without incident. In this study, in addition to studying the geometric characteristics of channel spacing and their length, the dimensions of a specific channel for reducing the maximum produced temperature are also discussed