The lump soliton solutions of a (2 + 1)-dimensional asymmetrical Nizhnik–Novikov–Veselov equation are obtained by making use of its bilinear form. We discuss the conditions to guarantee the analyticity, positiveness and localization of lump solutions. The solutions of interaction between a lump and a stripe are presented. It is proved that the interaction between the two solitary waves is non-elastic. The three-wave method is employed to investigate the periodic lump solutions. Figures are presented to illustrate the dynamical features of these solutions.

This article reports the first example of 3D printed continuous SiO2 fiber reinforced wave-transparent ceramic composites via an adaptation of direct ink writing technology to improve the mechanical and dielectric properties of ceramics. The ceramic inks showed good printability by adding nano-SiO2 powder. The effective continuous fiber-reinforced printing progress was achieved through the design and optimization of the coaxial needle structures by finite element simulation. After printing, the continuous fibers were evenly and continuously distributed in the matrix ceramics and the high molding precision for fiber reinforced composite was kept. It is demonstrated that 10 vol% continuous SiO2 fiber improved the bending strength of ceramics by about 27% better than that of the ceramics without fiber and the dielectric performance has also been greatly improved. The novel method unravels the potential of direct ink writing of continuous fiber reinforced wave-transparent ceramics with complex structures and improved properties.

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In this paper, the Lie symmetry analysis method is employed to investigate the Lie point symmetries and the one-parameter transformation groups of a (2 + 1)-dimensional Boiti-Leon-Pempinelli system. By using Ibragimov’s method, the optimal system of one-dimensional subalgebras of this system is constructed. Truncated Painlevé analysis is used for deriving the Bäcklund transformation. The method of constructing lump-type solutions of integrable equations by means of Bäcklund transformation is first presented. Meanwhile, the lump-type solutions of the (2 + 1)-dimensional Boiti-Leon-Pempinelli system are obtained. The lump-type wave is one kind of rogue wave. The fusion-type N-solitary wave solutions are also constructed. In addition, this system is integrable in terms of the consistent Riccati expansion method.