New dynamical soliton propagation of fractional type couple modified equal-width and Boussinesq equations.
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| Title: | New dynamical soliton propagation of fractional type couple modified equal-width and Boussinesq equations. |
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| Authors: | Ayesha Khatun, M.1 (AUTHOR) ayeshajust07@gmail.com, Asif Arefin, Mohammad1 (AUTHOR) asif.math@just.edu.bd, Zohurul Islam, M.1 (AUTHOR) mz.islam@just.edu.bd, Ali Akbar, M.2 (AUTHOR) ali_math74@yahoo.com, Hafiz Uddin, M.1 (AUTHOR) mh.uddin@just.edu.bd |
| Source: | Alexandria Engineering Journal. Dec2022, Vol. 61 Issue 12, p9949-9963. 15p. |
| Subjects: | Boussinesq equations, Traveling waves (Physics), Solitons, Partial differential equations, Plasma waves, Ordinary differential equations, Fractional differential equations, Nonlinear evolution equations, Sine-Gordon equation |
| Abstract: | The space–time fractional coupled modified equal-width equation and the coupled Boussinesq equation are a category of fractional partial differential equations, which might be crucial mathematical feathers in nonlinear optics, solid-state physics, vibrations in the nonlinear string, ion sound waves in plasma, hydro-magnetic waves in cold plasma and many more. To assemble such new exact solutions of the mentioned equations, the Sine-Gordon expansion (SGE) technique has been proposed with inside the sense of conformable derivative and the fractional order partial differential equation that is capable to change into an ordinary differential equation by using the traveling wave transform. In this article, the SGE technique has been employed to search the higher-dimensional fractional nonlinear evolution equations and hooked up consistent soliton solutions to the faster thought fractional nonlinear evolution equations through installing use of the prolonged higher-dimensional SGE technique. The compatibility of the extended SGE technique confirms through the scoring of soliton solutions. Moreover, we explored a couple of varieties of solutions over the maple calculations, including soliton, kink types, bell types, single soliton type, dark soliton, singular kink type, and anti-bell type solutions for distinct values of constants, which have been illustrated by the usage of 3D, list-point, contour analysis, and vector plotting. It is far incredible to understand that the feature of the solutions relies upon the selection of the parameters from the figures. This takes a look at an impactful position in studying higher-dimensional fractional nonlinear evolution equations through the prolonged SGE technique. [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.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 160909786 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: New dynamical soliton propagation of fractional type couple modified equal-width and Boussinesq equations. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Ayesha+Khatun%2C+M%2E%22">Ayesha Khatun, M.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> ayeshajust07@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Asif+Arefin%2C+Mohammad%22">Asif Arefin, Mohammad</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> asif.math@just.edu.bd</i><br /><searchLink fieldCode="AR" term="%22Zohurul+Islam%2C+M%2E%22">Zohurul Islam, M.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> mz.islam@just.edu.bd</i><br /><searchLink fieldCode="AR" term="%22Ali+Akbar%2C+M%2E%22">Ali Akbar, M.</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> ali_math74@yahoo.com</i><br /><searchLink fieldCode="AR" term="%22Hafiz+Uddin%2C+M%2E%22">Hafiz Uddin, M.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> mh.uddin@just.edu.bd</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Alexandria+Engineering+Journal%22">Alexandria Engineering Journal</searchLink>. Dec2022, Vol. 61 Issue 12, p9949-9963. 15p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Boussinesq+equations%22">Boussinesq equations</searchLink><br /><searchLink fieldCode="DE" term="%22Traveling+waves+%28Physics%29%22">Traveling waves (Physics)</searchLink><br /><searchLink fieldCode="DE" term="%22Solitons%22">Solitons</searchLink><br /><searchLink fieldCode="DE" term="%22Partial+differential+equations%22">Partial differential equations</searchLink><br /><searchLink fieldCode="DE" term="%22Plasma+waves%22">Plasma waves</searchLink><br /><searchLink fieldCode="DE" term="%22Ordinary+differential+equations%22">Ordinary differential equations</searchLink><br /><searchLink fieldCode="DE" term="%22Fractional+differential+equations%22">Fractional differential equations</searchLink><br /><searchLink fieldCode="DE" term="%22Nonlinear+evolution+equations%22">Nonlinear evolution equations</searchLink><br /><searchLink fieldCode="DE" term="%22Sine-Gordon+equation%22">Sine-Gordon equation</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: The space–time fractional coupled modified equal-width equation and the coupled Boussinesq equation are a category of fractional partial differential equations, which might be crucial mathematical feathers in nonlinear optics, solid-state physics, vibrations in the nonlinear string, ion sound waves in plasma, hydro-magnetic waves in cold plasma and many more. To assemble such new exact solutions of the mentioned equations, the Sine-Gordon expansion (SGE) technique has been proposed with inside the sense of conformable derivative and the fractional order partial differential equation that is capable to change into an ordinary differential equation by using the traveling wave transform. In this article, the SGE technique has been employed to search the higher-dimensional fractional nonlinear evolution equations and hooked up consistent soliton solutions to the faster thought fractional nonlinear evolution equations through installing use of the prolonged higher-dimensional SGE technique. The compatibility of the extended SGE technique confirms through the scoring of soliton solutions. Moreover, we explored a couple of varieties of solutions over the maple calculations, including soliton, kink types, bell types, single soliton type, dark soliton, singular kink type, and anti-bell type solutions for distinct values of constants, which have been illustrated by the usage of 3D, list-point, contour analysis, and vector plotting. It is far incredible to understand that the feature of the solutions relies upon the selection of the parameters from the figures. This takes a look at an impactful position in studying higher-dimensional fractional nonlinear evolution equations through the prolonged SGE technique. [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.2022.03.033 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 15 StartPage: 9949 Subjects: – SubjectFull: Boussinesq equations Type: general – SubjectFull: Traveling waves (Physics) Type: general – SubjectFull: Solitons Type: general – SubjectFull: Partial differential equations Type: general – SubjectFull: Plasma waves Type: general – SubjectFull: Ordinary differential equations Type: general – SubjectFull: Fractional differential equations Type: general – SubjectFull: Nonlinear evolution equations Type: general – SubjectFull: Sine-Gordon equation Type: general Titles: – TitleFull: New dynamical soliton propagation of fractional type couple modified equal-width and Boussinesq equations. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Ayesha Khatun, M. – PersonEntity: Name: NameFull: Asif Arefin, Mohammad – PersonEntity: Name: NameFull: Zohurul Islam, M. – PersonEntity: Name: NameFull: Ali Akbar, M. – PersonEntity: Name: NameFull: Hafiz Uddin, M. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 12 Text: Dec2022 Type: published Y: 2022 Identifiers: – Type: issn-print Value: 11100168 Numbering: – Type: volume Value: 61 – Type: issue Value: 12 Titles: – TitleFull: Alexandria Engineering Journal Type: main |
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