Multiple rogue wave and breather solutions for the (3+1)-dimensional KPI equation

By a symbolic computation approach, rouge wave solutions with controllable center of the (3+1)-dimensional Kadomtsev-Petviashvili I equation (KPI) can be presented. The first and the second order rouge wave will be obtained. Applying to Hirota bilinear method, we obtain multiple breather solutions and interaction solutions for the (3+1)-dimensional KPI equation.