A Bilinear Bäcklund Transformation and Explicit Solutions for a (3+1)-Dimensional Soliton Equation

Considering the bilinear form of a (3+1)-dimensional soliton equation, we obtain a bilinear Bäcklund transformation for the equation. As an application,
soliton solution and stationary rational solution for the (3+1)-dimensional soliton equation are presented.