Some new exact solutions of (4+1)-dimensional Davey–Stewartson-Kadomtsev–Petviashvili equation
Exact solutions of nonlinear equations have got formidable attraction of researchers because these solutions demonstrate the physical behaviour of a model. In this paper, we focus on extracting some new exact solutions of a (4+1)-dimensional Davey–Stewartson-Kadomtsev–Petviashvili (DSKP) equation. T...
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Elsevier
2023-02-01
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Series: | Results in Physics |
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Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379723000335 |
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author | Israr Ahmad Abdul Jalil Aman Ullah Shabir Ahmad Manuel De la Sen |
author_facet | Israr Ahmad Abdul Jalil Aman Ullah Shabir Ahmad Manuel De la Sen |
author_sort | Israr Ahmad |
collection | DOAJ |
description | Exact solutions of nonlinear equations have got formidable attraction of researchers because these solutions demonstrate the physical behaviour of a model. In this paper, we focus on extracting some new exact solutions of a (4+1)-dimensional Davey–Stewartson-Kadomtsev–Petviashvili (DSKP) equation. To find new travelling wave solutions of the DSKP equation, we use (G′G′+G+A)-expansion technique. The obtained solutions are in the form of the exponential and trigonometric functions. We obtain different kinds of waves solutions for specific values of parameters. We simulate the achieved solutions in 3D and 2D plots. |
first_indexed | 2024-04-10T15:05:34Z |
format | Article |
id | doaj.art-97ededc9df424defaa63130b503bf5fc |
institution | Directory Open Access Journal |
issn | 2211-3797 |
language | English |
last_indexed | 2024-04-10T15:05:34Z |
publishDate | 2023-02-01 |
publisher | Elsevier |
record_format | Article |
series | Results in Physics |
spelling | doaj.art-97ededc9df424defaa63130b503bf5fc2023-02-15T04:27:58ZengElsevierResults in Physics2211-37972023-02-0145106240Some new exact solutions of (4+1)-dimensional Davey–Stewartson-Kadomtsev–Petviashvili equationIsrar Ahmad0Abdul Jalil1Aman Ullah2Shabir Ahmad3Manuel De la Sen4Department of Mathematics, University of Malakand, Chakdara, Dir Lower, Khyber Pakhtunkhwa, PakistanDepartment of Mathematics, University of Malakand, Chakdara, Dir Lower, Khyber Pakhtunkhwa, PakistanDepartment of Mathematics, University of Malakand, Chakdara, Dir Lower, Khyber Pakhtunkhwa, PakistanDepartment of Mathematics, University of Malakand, Chakdara, Dir Lower, Khyber Pakhtunkhwa, Pakistan; Corresponding author.Department of Electricity and Electronics, Institute of Research and Development of Processes Faculty of Science and Technology University of the Basque Country Campus of Leioa (Bizkaia) 644 Leioa, SpainExact solutions of nonlinear equations have got formidable attraction of researchers because these solutions demonstrate the physical behaviour of a model. In this paper, we focus on extracting some new exact solutions of a (4+1)-dimensional Davey–Stewartson-Kadomtsev–Petviashvili (DSKP) equation. To find new travelling wave solutions of the DSKP equation, we use (G′G′+G+A)-expansion technique. The obtained solutions are in the form of the exponential and trigonometric functions. We obtain different kinds of waves solutions for specific values of parameters. We simulate the achieved solutions in 3D and 2D plots.http://www.sciencedirect.com/science/article/pii/S2211379723000335SolitonsTravelling wavesKink soliton, Singular soliton |
spellingShingle | Israr Ahmad Abdul Jalil Aman Ullah Shabir Ahmad Manuel De la Sen Some new exact solutions of (4+1)-dimensional Davey–Stewartson-Kadomtsev–Petviashvili equation Results in Physics Solitons Travelling waves Kink soliton, Singular soliton |
title | Some new exact solutions of (4+1)-dimensional Davey–Stewartson-Kadomtsev–Petviashvili equation |
title_full | Some new exact solutions of (4+1)-dimensional Davey–Stewartson-Kadomtsev–Petviashvili equation |
title_fullStr | Some new exact solutions of (4+1)-dimensional Davey–Stewartson-Kadomtsev–Petviashvili equation |
title_full_unstemmed | Some new exact solutions of (4+1)-dimensional Davey–Stewartson-Kadomtsev–Petviashvili equation |
title_short | Some new exact solutions of (4+1)-dimensional Davey–Stewartson-Kadomtsev–Petviashvili equation |
title_sort | some new exact solutions of 4 1 dimensional davey stewartson kadomtsev petviashvili equation |
topic | Solitons Travelling waves Kink soliton, Singular soliton |
url | http://www.sciencedirect.com/science/article/pii/S2211379723000335 |
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