Lump-type and interaction solutions to an extended (3 + 1) -dimensional Jimbo-Miwa equation

By using the Hirota bilinear method, we construct new lump-type solutions to an extended (3 + 1)-dimensional Jimbo-Miwa equation, which describes certain (3 + 1)-dimensional wave phenomena in physics. The presented solutions contain 10 arbitrary parameters and only need to satisfy four restrictive conditions to be analytic, thereby enriching the existing lump-type solutions. Moreover, we compute their interaction solutions with double exponential function waves, which include rogue wave solutions. Dynamical features of the obtained solutions are graphically exhibited.