Interaction solutions between lump and stripe soliton to the (2+1)-dimensional Date-Jimbo-Kashiwara-Miwa equation

In this paper, we apply the ansatz method to the multi-linear form of the (2+1)-dimensional Date-Jimbo-Kashiwara-Miwa equation for constructing interaction solutions. By taking the ansatz as the quadratic function or the linear combination of the quadratic function and the exponential one, explicit rational and rational-exponential solutions are derived. It is shown that these exact solutions describe the lump, the lump-stripe soliton interaction with fission and fusion phenomena, and a rogue wave excited from the stripe soliton pair, respectively.