4.5 Article

Lump solutions to a generalized Kadomtsev-Petviashvili-Ito equation

Journal

MODERN PHYSICS LETTERS B
Volume 35, Issue 26, Pages -

Publisher

WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0217984921504376

Keywords

Lump solutions; Hirota bilinear method; soliton; symbolic computation

Funding

  1. China Scholarship Council [201906840068]
  2. National Natural Science Foundation of China [11961080]

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A (2+1)-dimensional generalized Kadomtsev-Petviashvili-Ito equation is introduced and various lump solutions are constructed using the Hirota bilinear method. Two specific lump solutions are obtained with particular parameter choices and their dynamical behaviors are analyzed through three-dimensional plots and contour plots.
A (2+1)-dimensional generalized Kadomtsev-Petviashvili-Ito equation is introduced. Upon adding some second-order derivative terms, its various lump solutions are explicitly constructed by utilizing the Hirota bilinear method and calculated through the symbolic computation system Maple. Furthermore, two specific lump solutions are obtained with particular choices of the parameters and their dynamical behaviors are analyzed through three-dimensional plots and contour plots.

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