Dispersive solitary wave solutions of Kadomtsev-Petviashvili and modified Kadomtsev-Petviashvili dynamical equations in unmagnetized dust plasma

Dispersive solitary wave solutions of Kadomtsev-Petviashvili and modified Kadomtsev-Petviashvili dynamical equations in unmagnetized dust plasma

The Kadomtsev-Petviashvili (KP) and modified KP equations are two of the most universal models in nonlinear wave theory, which arises as a reduction of system with quadratic nonlinearity which admit weakly dispersive waves. The generalized extended tanh method and the F-expansion method are used to...

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Main Authors: A.R. Seadawy, K. El-Rashidy
Format: Article
Language:English
Published: Elsevier 2018-03-01
Series:Results in Physics
Online Access:http://www.sciencedirect.com/science/article/pii/S2211379717324178
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spelling doaj-52086353f2d148f195bf7077727acd482020-11-24T23:49:32ZengElsevierResults in Physics2211-37972018-03-01812161222Dispersive solitary wave solutions of Kadomtsev-Petviashvili and modified Kadomtsev-Petviashvili dynamical equations in unmagnetized dust plasmaA.R. Seadawy0K. El-Rashidy1Mathematics Department, Faculty of Science, Taibah University, Al-Madinah Al-Munawarah, Saudi Arabia; Mathematics Department, Faculty of Science, Beni-Suef University, Egypt; Corresponding authors at: Mathematics Department, Faculty of Science, Taibah University, Al-Madinah Al-Munawarah, Saudi Arabia.Mathematics Department, College of Arts and Science, Taif University, Ranyah, Saudi Arabia; Mathematics Department, Faculty of Science, Beni-Suef University, Egypt; Corresponding authors at: Mathematics Department, Faculty of Science, Taibah University, Al-Madinah Al-Munawarah, Saudi Arabia.The Kadomtsev-Petviashvili (KP) and modified KP equations are two of the most universal models in nonlinear wave theory, which arises as a reduction of system with quadratic nonlinearity which admit weakly dispersive waves. The generalized extended tanh method and the F-expansion method are used to derive exact solitary waves solutions of KP and modified KP equations. The region of solutions are displayed graphically. Keywords: Unmagnetized dust plasma, Solitary wave solutions, Kadomtsev-Petviashvili equation, Modified KP equation, Mathematical methodshttp://www.sciencedirect.com/science/article/pii/S2211379717324178
collection DOAJ
language English
format Article
sources DOAJ
author A.R. Seadawy
K. El-Rashidy
spellingShingle A.R. Seadawy
K. El-Rashidy
Dispersive solitary wave solutions of Kadomtsev-Petviashvili and modified Kadomtsev-Petviashvili dynamical equations in unmagnetized dust plasma
Results in Physics
author_facet A.R. Seadawy
K. El-Rashidy
author_sort A.R. Seadawy
title Dispersive solitary wave solutions of Kadomtsev-Petviashvili and modified Kadomtsev-Petviashvili dynamical equations in unmagnetized dust plasma
title_short Dispersive solitary wave solutions of Kadomtsev-Petviashvili and modified Kadomtsev-Petviashvili dynamical equations in unmagnetized dust plasma
title_full Dispersive solitary wave solutions of Kadomtsev-Petviashvili and modified Kadomtsev-Petviashvili dynamical equations in unmagnetized dust plasma
title_fullStr Dispersive solitary wave solutions of Kadomtsev-Petviashvili and modified Kadomtsev-Petviashvili dynamical equations in unmagnetized dust plasma
title_full_unstemmed Dispersive solitary wave solutions of Kadomtsev-Petviashvili and modified Kadomtsev-Petviashvili dynamical equations in unmagnetized dust plasma
title_sort dispersive solitary wave solutions of kadomtsev-petviashvili and modified kadomtsev-petviashvili dynamical equations in unmagnetized dust plasma
publisher Elsevier
series Results in Physics
issn 2211-3797
publishDate 2018-03-01
description The Kadomtsev-Petviashvili (KP) and modified KP equations are two of the most universal models in nonlinear wave theory, which arises as a reduction of system with quadratic nonlinearity which admit weakly dispersive waves. The generalized extended tanh method and the F-expansion method are used to derive exact solitary waves solutions of KP and modified KP equations. The region of solutions are displayed graphically. Keywords: Unmagnetized dust plasma, Solitary wave solutions, Kadomtsev-Petviashvili equation, Modified KP equation, Mathematical methods
url http://www.sciencedirect.com/science/article/pii/S2211379717324178
work_keys_str_mv AT arseadawy dispersivesolitarywavesolutionsofkadomtsevpetviashviliandmodifiedkadomtsevpetviashvilidynamicalequationsinunmagnetizeddustplasma
AT kelrashidy dispersivesolitarywavesolutionsofkadomtsevpetviashviliandmodifiedkadomtsevpetviashvilidynamicalequationsinunmagnetizeddustplasma
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