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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Main Authors: Israr Ahmad, Abdul Jalil, Aman Ullah, Shabir Ahmad, Manuel De la Sen
Format: Article
Language:English
Published: Elsevier 2023-02-01
Series:Results in Physics
Subjects:
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.
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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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