The one is the exact nonstationary solutions for a two-component Bose-Einstein condensate which compose of two species have different atomic masses,the other is about the interaction between two dark matter solitons in a two-component Bose-Einstein condensate.

Aimed at the vadose of horizontal well in sandstone gas reservoir, the accurate solutions about three basic boundary value problems are found in this paper, which is of important theoretical and practical significance on well test interpretation of horizontal well in sandstone gas reservoir.

The vibration of a fixed supported pipe containing flowing fluid was studied, and the accurate solution of the function of the normal vibration mode and the corresponding frequency equation were obtained.

In this paper, the reciprocal theorem is applied to research on the bending problem of rectangular plates with opposite simple supported and clamped edges under distributed bending moment and a concentrated bending moment acting at any of its points, the accurate solution of the problem are given.