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Solitary wave solution, breather wave solution and rogue wave solution for a KP-equation
  • Zhenjie Niu,
  • Zenggui Wang
Zhenjie Niu
Liao Cheng University
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Zenggui Wang
Liao Cheng University

Corresponding Author:[email protected]

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Abstract

In this paper, we investigate KP equation by the Hirota bilinear method and obtain its bilinear form successfully. On the basis of above bilinear form, a number of explicit solutions including one-solitary wave solution, two-solitary wave solution and their generalized form N-solitary wave solution are obtained successfully. Moreover, in view of the homoclinic breather limit method, we also express breather wave solutions and rogue wave solutions of KP-equation. Finally, with mathematical software Maple, we obtained overhead views, perspective views and wave propagation pattern of solutions in different parameter areas.