Lump Solutions of the Modified Kadomtsev-Petviashvili-I Equation

Authors

  • Xuelin Yong School of Mathematical Sciences and Physics, North China Electric Power University, Beijing 102206, P.R. China.
  • Yuning Chen School of Mathematical Sciences and Physics, North China Electric Power University, Beijing 102206, P.R. China.
  • Yehui Huang School of Mathematical Sciences and Physics, North China Electric Power University, Beijing 102206, P.R. China.
  • Wen-Xiu Ma Department of Mathematics, Zhejiang Normal University, Jinhua 321004, Zhejiang, P.R. China.

DOI:

https://doi.org/10.4208/eajam.010819.241019%20

Keywords:

Lump, symbolic computation, Hirota bilinear method.

Abstract

The modified Kadomtsev-Petviashvili-I equation is studied by the Hirota bilinear method. Certain lump solutions of this equation are found via the ansatz technique. Rational solutions presented include plane bounded lumps, which do not decay in all directions in the space.

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Published

2020-04-01

Issue

Vol. 10 No. 2 (2020)

Section

Articles