Interactions among special embed-solitons for the (3+1)-dimensional Burgers equation

With the help of a modified mapping method and a new mapping method, we re-study the (3+1)-dimensional Burgers equation, and derive two families of variable separation solutions. By selecting appropriate functions in the variable separation solution, we discuss interaction behaviors among taper-like, plateau-type ring, and rectangle-type embed-solitons in the periodic wave background. All interaction behaviors among them are completely elastic, and no phase shift appears after interaction.