We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
One-, two- and three-soliton, periodic and cross-kink solutions to the (2+1)-D variable-coefficient KP equation.
- Authors
Huang, Meihua; Murad, Muhammad Amin S.; Ilhan, Onur Alp; Manafian, Jalil
- Abstract
This paper deals with M -soliton solution of the (2 + 1)-dimensional variable-coefficient Kadomtsev–Petviashvili equation by virtue of the Hirota bilinear operator method. The obtained solutions for solving the current equation represent some localized waves including soliton, periodic and cross-kink solutions, which have been investigated by the approach of the bilinear method. Mainly, by choosing specific parameter constraints in the M -soliton solutions, all cases of the periodic and cross-kink solutions can be captured from the one-, two- and three-soliton solutions. The obtained solutions are extended with numerical simulation to analyze graphically, which results into one-, two- and three-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.
- Subjects
KADOMTSEV-Petviashvili equation; CLASSICAL mechanics; FLUID dynamics; SOLITONS; PHENOMENOLOGICAL theory (Physics); HEAT transfer; ACOUSTICS
- Publication
Modern Physics Letters B, 2020, Vol 34, Issue 4, pN.PAG
- ISSN
0217-9849
- Publication type
Article
- DOI
10.1142/S0217984920500451