Modulational stability and multiple rogue wave solutions for a generalized (3+1)-D nonlinear wave equation in fluid with gas bubbles.

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Title: Modulational stability and multiple rogue wave solutions for a generalized (3+1)-D nonlinear wave equation in fluid with gas bubbles.
Authors: Guo, Shuya1 (AUTHOR) xuefei6673@cqwu.edu.cn, Kong, Defeng2 (AUTHOR) jack_kong0704@163.com, Manafian, Jalil1,3,4 (AUTHOR) j_manafianheris@tabrizu.ac.ir, Mahmoud, Khaled H.5 (AUTHOR) k.hussein@tu.edu.sa, Alsubaie, A.S.A.5 (AUTHOR) asubaie@tu.edu.sa, Kumari, Neha6,7 (AUTHOR) nehakumari.00@yahoo.com, Sharma, Rohit8,9 (AUTHOR) rssharma1987@yahoo.com, Ahmad, Nafis10 (AUTHOR) nafis.jmi@gmail.com
Source: Alexandria Engineering Journal. Nov2024, Vol. 106, p1-18. 18p.
Subjects: Rogue waves, Waves (Fluid mechanics), Ocean engineering, Optical devices
Abstract: In this paper, the generalized (3+1)-dimensional nonlinear wave equation in fluid with gas bubbles is studied in soliton theory and produced by taking the Hirota bilinear operators. The first- to third rogue wave solutions through numerous rogue wave strategy by Maple typical estimations are recovered. The made conditions for the analyticity and positively of the gotten arrangements can be effectively accomplished by utilizing the specific determinations of the included values. The most merits of this plot are to recoup the Hirota bilinear models and their generalized equivalences. Also, the rational tan (Π (ξ)) technique on the generalized nonlinear wave equation is examined. The perturbed solution of the generalized nonlinear wave equation through the way of Modulational stability is studied. Finally, the graphical reenactments of the precise arrangements are portrayed. By selecting suitable values for the parameters involved in the solutions, 3D graphs, 2D contour graphs and line graphs are presented to provide graphical demonstration of the results. The reported results will be helpful to design new and better optical devices. The findings of this work may also help in problems arising in ocean engineering. [ABSTRACT FROM AUTHOR]
Copyright of Alexandria Engineering Journal is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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DbLabel: Engineering Source
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  Data: Modulational stability and multiple rogue wave solutions for a generalized (3+1)-D nonlinear wave equation in fluid with gas bubbles.
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  Data: <searchLink fieldCode="AR" term="%22Guo%2C+Shuya%22">Guo, Shuya</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> xuefei6673@cqwu.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Kong%2C+Defeng%22">Kong, Defeng</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> jack_kong0704@163.com</i><br /><searchLink fieldCode="AR" term="%22Manafian%2C+Jalil%22">Manafian, Jalil</searchLink><relatesTo>1,3,4</relatesTo> (AUTHOR)<i> j_manafianheris@tabrizu.ac.ir</i><br /><searchLink fieldCode="AR" term="%22Mahmoud%2C+Khaled+H%2E%22">Mahmoud, Khaled H.</searchLink><relatesTo>5</relatesTo> (AUTHOR)<i> k.hussein@tu.edu.sa</i><br /><searchLink fieldCode="AR" term="%22Alsubaie%2C+A%2ES%2EA%2E%22">Alsubaie, A.S.A.</searchLink><relatesTo>5</relatesTo> (AUTHOR)<i> asubaie@tu.edu.sa</i><br /><searchLink fieldCode="AR" term="%22Kumari%2C+Neha%22">Kumari, Neha</searchLink><relatesTo>6,7</relatesTo> (AUTHOR)<i> nehakumari.00@yahoo.com</i><br /><searchLink fieldCode="AR" term="%22Sharma%2C+Rohit%22">Sharma, Rohit</searchLink><relatesTo>8,9</relatesTo> (AUTHOR)<i> rssharma1987@yahoo.com</i><br /><searchLink fieldCode="AR" term="%22Ahmad%2C+Nafis%22">Ahmad, Nafis</searchLink><relatesTo>10</relatesTo> (AUTHOR)<i> nafis.jmi@gmail.com</i>
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  Data: <searchLink fieldCode="JN" term="%22Alexandria+Engineering+Journal%22">Alexandria Engineering Journal</searchLink>. Nov2024, Vol. 106, p1-18. 18p.
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  Data: <searchLink fieldCode="DE" term="%22Rogue+waves%22">Rogue waves</searchLink><br /><searchLink fieldCode="DE" term="%22Waves+%28Fluid+mechanics%29%22">Waves (Fluid mechanics)</searchLink><br /><searchLink fieldCode="DE" term="%22Ocean+engineering%22">Ocean engineering</searchLink><br /><searchLink fieldCode="DE" term="%22Optical+devices%22">Optical devices</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: In this paper, the generalized (3+1)-dimensional nonlinear wave equation in fluid with gas bubbles is studied in soliton theory and produced by taking the Hirota bilinear operators. The first- to third rogue wave solutions through numerous rogue wave strategy by Maple typical estimations are recovered. The made conditions for the analyticity and positively of the gotten arrangements can be effectively accomplished by utilizing the specific determinations of the included values. The most merits of this plot are to recoup the Hirota bilinear models and their generalized equivalences. Also, the rational tan (Π (ξ)) technique on the generalized nonlinear wave equation is examined. The perturbed solution of the generalized nonlinear wave equation through the way of Modulational stability is studied. Finally, the graphical reenactments of the precise arrangements are portrayed. By selecting suitable values for the parameters involved in the solutions, 3D graphs, 2D contour graphs and line graphs are presented to provide graphical demonstration of the results. The reported results will be helpful to design new and better optical devices. The findings of this work may also help in problems arising in ocean engineering. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Alexandria Engineering Journal is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1016/j.aej.2024.06.053
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 18
        StartPage: 1
    Subjects:
      – SubjectFull: Rogue waves
        Type: general
      – SubjectFull: Waves (Fluid mechanics)
        Type: general
      – SubjectFull: Ocean engineering
        Type: general
      – SubjectFull: Optical devices
        Type: general
    Titles:
      – TitleFull: Modulational stability and multiple rogue wave solutions for a generalized (3+1)-D nonlinear wave equation in fluid with gas bubbles.
        Type: main
  BibRelationships:
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      – PersonEntity:
          Name:
            NameFull: Guo, Shuya
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            NameFull: Kong, Defeng
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            NameFull: Manafian, Jalil
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            NameFull: Mahmoud, Khaled H.
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            NameFull: Alsubaie, A.S.A.
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            NameFull: Kumari, Neha
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            NameFull: Sharma, Rohit
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            NameFull: Ahmad, Nafis
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          Dates:
            – D: 01
              M: 11
              Text: Nov2024
              Type: published
              Y: 2024
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              Value: 11100168
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              Value: 106
          Titles:
            – TitleFull: Alexandria Engineering Journal
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