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Multiple lump solutions of the (2+1)‐dimensional Konopelchenko–Dubrovsky equation
Author(s) -
Ma Hongcai,
Bai Yunxiang,
Deng Aiping
Publication year - 2020
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.6442
Subject(s) - mathematics , quartic function , bilinear interpolation , quadratic equation , nonlinear system , bilinear form , mathematical analysis , pure mathematics , geometry , statistics , quantum mechanics , physics
In this paper, multiple lump solutions of the (2+1)‐dimensional Konopelchenko–Dubrovsky equation are obtained by means of the Hirota bilinear method. With the aid of positive quartic‐quadratic‐functions, we can get the 1‐lump solutions, 3‐lump solutions, and 6‐lump solutions. Via the density plots and three‐dimensional plots, the dynamic properties of multiple lump solutions are discussed by choosing the appropriate parameters. It is expected that our results are valuable for revealing the high‐dimensional dynamic phenomenon of the nonlinear evolution equations.