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

  • Fan Guo
  • Ji LinEmail author
Original Paper


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.


Lump solution Interaction solution Rouge wave Multi-linear form Date–Jimbo–Kashiwara–Miwa equation 



This work was supported by the National Natural Science Foundation of China under Grant Nos. 11835011 and 11675146.

Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflict of interest.


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© Springer Nature B.V. 2019

Authors and Affiliations

  1. 1.Department of PhysicsZhejiang Normal UniversityJinhuaPeople’s Republic of China

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