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

作者：Qi, Feng-Hua^*; Ma, Wen-Xiu^*; Qu, Qi-Xing; Wang, Pan

来源：International Journal of Modern Physics B, 2020, 34(7): 2050043.

DOI：10.1142/S0217979220500435

• Jimbo-Miwa equation
• lump-type solution
• double exponential function

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.

• 单位
  浙江师范大学; 西北大学