One, two and three soliton, periodic and cross-kink solutions to the (2+1)-D variable-coefficient KP equation

Meihua H., Elagan S. K. M. M. , İlhan O. A. , Manafian J.

Modern Physics Letters B, cilt.34, ss.1-20, 2020 (SCI İndekslerine Giren Dergi) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 34
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1142/s0217984920500451
  • Dergi Adı: Modern Physics Letters B
  • Sayfa Sayıları: ss.1-20


The present article deals with M-soliton solution of the (2+1)-dimensional variable-coefficient Kadomtsev-Petviashvili equation

by virtue of Hirota bilinear operator method. The obtained solutions for solving the current equation represent some localized

waves including soliton, periodic and cross-kink solutions in which have been investigated by the approach of bilinear method.

Mainly, by choosing specific parameter constraints in the M-soliton solutions, all cases the periodic and cross-kink solutions can

be captured from the 1-, 2- and 3-soliton. The obtained solutions are extended with numerical simulation to analyze graphically,

which results into 1-, 2- and 3-soliton solutions and also periodic and cross-kink solutions profiles. That will be extensively used

to report many attractive physical phenomena in the fields of acoustics, heat transfer, fluid dynamics, classical mechanics and

so on.