Bifurcations of new multi soliton solutions of the van der Waals normal form for fluidized granular matter via six different methods

In this article, we study one of the most popular models in nature and also industrial which is the van der Waals normal form for the fluidized granular matter. Understanding of static and dynamic property for these kinds of the models is very important in many aspects of industrial from pharmaceuti...

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Main Authors:	Dianchen Lu, Aly R. Seadawy, Mostafa M.A. Khater
Format:	Article
Language:	English
Published:	Elsevier 2017-01-01
Series:	Results in Physics
Online Access:	http://www.sciencedirect.com/science/article/pii/S2211379717306666

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spelling	doaj-283630961f7a4271b21ffd360996b7982020-11-25T00:07:28ZengElsevierResults in Physics2211-37972017-01-01720282035Bifurcations of new multi soliton solutions of the van der Waals normal form for fluidized granular matter via six different methodsDianchen Lu0Aly R. Seadawy1Mostafa M.A. Khater2Department of Mathematics, Faculty of Science, Jiangsu University, ChinaDepartment of Mathematics, Faculty of Science, Jiangsu University, China; Mathematics Department, Faculty of Science, Taibah University, Al-Ula, Saudi Arabia; Corresponding authors at: Mathematics Department, Faculty of Science, Taibah University, Al-Ula, Saudi Arabia (A.R. Seadawy).Department of Mathematics, Faculty of Science, Jiangsu University, China; Corresponding authors at: Mathematics Department, Faculty of Science, Taibah University, Al-Ula, Saudi Arabia (A.R. Seadawy).In this article, we study one of the most popular models in nature and also industrial which is the van der Waals normal form for the fluidized granular matter. Understanding of static and dynamic property for these kinds of the models is very important in many aspects of industrial from pharmaceuticals to civil engineering and also some basic physical phenomena like those studied in geophysics. This model explains the phase separation phenomenon. We apply six different methods for this model to obtained the traveling and solitary wave solutions. We make the comparison between obtained solutions with each of them and also with obtained solutions with different methods. Keywords: The van der Waals normal form for fluidized granular matter, Modified simple equation method, The improved mapping approach and variable separation method, Traveling wave solutions, Solitary wave solutions, Mathematical physicshttp://www.sciencedirect.com/science/article/pii/S2211379717306666
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Dianchen Lu Aly R. Seadawy Mostafa M.A. Khater
spellingShingle	Dianchen Lu Aly R. Seadawy Mostafa M.A. Khater Bifurcations of new multi soliton solutions of the van der Waals normal form for fluidized granular matter via six different methods Results in Physics
author_facet	Dianchen Lu Aly R. Seadawy Mostafa M.A. Khater
author_sort	Dianchen Lu
title	Bifurcations of new multi soliton solutions of the van der Waals normal form for fluidized granular matter via six different methods
title_short	Bifurcations of new multi soliton solutions of the van der Waals normal form for fluidized granular matter via six different methods
title_full	Bifurcations of new multi soliton solutions of the van der Waals normal form for fluidized granular matter via six different methods
title_fullStr	Bifurcations of new multi soliton solutions of the van der Waals normal form for fluidized granular matter via six different methods
title_full_unstemmed	Bifurcations of new multi soliton solutions of the van der Waals normal form for fluidized granular matter via six different methods
title_sort	bifurcations of new multi soliton solutions of the van der waals normal form for fluidized granular matter via six different methods
publisher	Elsevier
series	Results in Physics
issn	2211-3797
publishDate	2017-01-01
description	In this article, we study one of the most popular models in nature and also industrial which is the van der Waals normal form for the fluidized granular matter. Understanding of static and dynamic property for these kinds of the models is very important in many aspects of industrial from pharmaceuticals to civil engineering and also some basic physical phenomena like those studied in geophysics. This model explains the phase separation phenomenon. We apply six different methods for this model to obtained the traveling and solitary wave solutions. We make the comparison between obtained solutions with each of them and also with obtained solutions with different methods. Keywords: The van der Waals normal form for fluidized granular matter, Modified simple equation method, The improved mapping approach and variable separation method, Traveling wave solutions, Solitary wave solutions, Mathematical physics
url	http://www.sciencedirect.com/science/article/pii/S2211379717306666
work_keys_str_mv	AT dianchenlu bifurcationsofnewmultisolitonsolutionsofthevanderwaalsnormalformforfluidizedgranularmatterviasixdifferentmethods AT alyrseadawy bifurcationsofnewmultisolitonsolutionsofthevanderwaalsnormalformforfluidizedgranularmatterviasixdifferentmethods AT mostafamakhater bifurcationsofnewmultisolitonsolutionsofthevanderwaalsnormalformforfluidizedgranularmatterviasixdifferentmethods
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Bifurcations of new multi soliton solutions of the van der Waals normal form for fluidized granular matter via six different methods

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