On the exact solutions to some system of complex nonlinear models

In this manuscript, the application of the extended sinh-Gordon equation expansion method to the Davey-Stewartson equation and the (2+1)-dimensional nonlinear complex coupled Maccari system is presented. The Davey-Stewartson equation arises as a result of multiple-scale analysis of modulated nonline...

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Vydáno v:Applied mathematics and nonlinear sciences Ročník 6; číslo 1; s. 29 - 42
Hlavní autoři: Sulaiman, Tukur Abdulkadir, Bulut, Hasan, Baskonus, Haci Mehmet
Médium: Journal Article
Jazyk:angličtina
Vydáno: Beirut Sciendo 01.01.2021
De Gruyter Brill Sp. z o.o., Paradigm Publishing Services
Témata:
34A34
Davey-Stewartson equation
Maccari's system
soliton solutions
The extended ShEEM
ISSN:2444-8656, 2444-8656
On-line přístup:Získat plný text
Tagy: Přidat tag
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Abstract In this manuscript, the application of the extended sinh-Gordon equation expansion method to the Davey-Stewartson equation and the (2+1)-dimensional nonlinear complex coupled Maccari system is presented. The Davey-Stewartson equation arises as a result of multiple-scale analysis of modulated nonlinear surface gravity waves propagating over a horizontal seabed and the (2+1)-dimensional nonlinear complex coupled Maccari equation describes the motion of the isolated waves, localized in a small part of space, in many fields such as hydrodynamic, plasma physics, nonlinear optics. We successfully construct some soliton, singular soliton and singular periodic wave solutions to these two nonlinear complex models. The 2D, 3D and contour graphs to some of the obtained solutions are presented.
AbstractList In this manuscript, the application of the extended sinh-Gordon equation expansion method to the Davey-Stewartson equation and the (2+1)-dimensional nonlinear complex coupled Maccari system is presented. The Davey-Stewartson equation arises as a result of multiple-scale analysis of modulated nonlinear surface gravity waves propagating over a horizontal seabed and the (2+1)-dimensional nonlinear complex coupled Maccari equation describes the motion of the isolated waves, localized in a small part of space, in many fields such as hydrodynamic, plasma physics, nonlinear optics. We successfully construct some soliton, singular soliton and singular periodic wave solutions to these two nonlinear complex models. The 2D, 3D and contour graphs to some of the obtained solutions are presented.
Author Baskonus, Haci Mehmet
Bulut, Hasan
Sulaiman, Tukur Abdulkadir
Author_xml – sequence: 1
  givenname: Tukur Abdulkadir
  surname: Sulaiman
  fullname: Sulaiman, Tukur Abdulkadir
  email: sulaiman.tukur@fud.edu.ng
  organization: Department of Mathematics, Federal University, Dutse, Jigawa, Nigeria
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  givenname: Hasan
  surname: Bulut
  fullname: Bulut, Hasan
  email: hbulut@firat.edu.tr
  organization: Department of Mathematics Education, Final International University, Kyrenia, Cyprus
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  givenname: Haci Mehmet
  surname: Baskonus
  fullname: Baskonus, Haci Mehmet
  email: hmbaskonus@gmail.com
  organization: Department of Mathematics, Harran University, Sanliurfa, Turkey
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Snippet In this manuscript, the application of the extended sinh-Gordon equation expansion method to the Davey-Stewartson equation and the (2+1)-dimensional nonlinear...
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SubjectTerms 34A34
Davey-Stewartson equation
Maccari's system
soliton solutions
The extended ShEEM
Title On the exact solutions to some system of complex nonlinear models
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