Interactions of soliton solutions for the generalized viscous capillarity compressible fluid model.
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| Title: | Interactions of soliton solutions for the generalized viscous capillarity compressible fluid model. |
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| Authors: | Ceesay, Baboucarr1,2 (AUTHOR) bceesay@utg.edu.gm, Ahmed, Nauman1 (AUTHOR), Baber, Muhammad Zafarullah1 (AUTHOR), Akgul, Ali3,4,5,6,7 (AUTHOR), Jawaz, Muhammad1 (AUTHOR) |
| Source: | Mathematical & Computer Modelling of Dynamical Systems. Dec2025, Vol. 31 Issue 1, p1-33. 33p. |
| Subjects: | Solitons, Compressible flow, Conservation laws (Physics), Compressibility (Fluids), Viscosity, Capillary flow, Waves (Physics), Mathematical transformations |
| Abstract: | In this work, interactions in a generalized viscous capillarity compressible fluid model are studied analytically employing the approach of Hirota bilinear transformation. We examine the conservation laws of the p-system with a generalized cubic van der Waals flow, nonlinear viscosity, and capillarity factors. This approach is used in the study to show numerous novel wave shapes and solitary solutions in compressible isothermal viscosity-capillarity van der Waals fluids. With the help of Mathematica, we extract various wave phenomena such as bright and dark breathers, kink, anti-kink, periodic lumps, periodic cross kink, M-shaped, mixed and multiple wave structures. The 3D dynamical behaviours and their related contour profiles for the obtained solutions are presented. The Hirota bilinear transformation approach's effectiveness and clarity, as shown in this paper, underscore its potential as a useful tool for deciphering complex physical processes. [ABSTRACT FROM AUTHOR] |
| Copyright of Mathematical & Computer Modelling of Dynamical Systems is the property of Taylor & Francis Ltd 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 |
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| Header | DbId: egs DbLabel: Engineering Source An: 190352337 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Interactions of soliton solutions for the generalized viscous capillarity compressible fluid model. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Ceesay%2C+Baboucarr%22">Ceesay, Baboucarr</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<i> bceesay@utg.edu.gm</i><br /><searchLink fieldCode="AR" term="%22Ahmed%2C+Nauman%22">Ahmed, Nauman</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Baber%2C+Muhammad+Zafarullah%22">Baber, Muhammad Zafarullah</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Akgul%2C+Ali%22">Akgul, Ali</searchLink><relatesTo>3,4,5,6,7</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Jawaz%2C+Muhammad%22">Jawaz, Muhammad</searchLink><relatesTo>1</relatesTo> (AUTHOR) – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Mathematical+%26+Computer+Modelling+of+Dynamical+Systems%22">Mathematical & Computer Modelling of Dynamical Systems</searchLink>. Dec2025, Vol. 31 Issue 1, p1-33. 33p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Solitons%22">Solitons</searchLink><br /><searchLink fieldCode="DE" term="%22Compressible+flow%22">Compressible flow</searchLink><br /><searchLink fieldCode="DE" term="%22Conservation+laws+%28Physics%29%22">Conservation laws (Physics)</searchLink><br /><searchLink fieldCode="DE" term="%22Compressibility+%28Fluids%29%22">Compressibility (Fluids)</searchLink><br /><searchLink fieldCode="DE" term="%22Viscosity%22">Viscosity</searchLink><br /><searchLink fieldCode="DE" term="%22Capillary+flow%22">Capillary flow</searchLink><br /><searchLink fieldCode="DE" term="%22Waves+%28Physics%29%22">Waves (Physics)</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+transformations%22">Mathematical transformations</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: In this work, interactions in a generalized viscous capillarity compressible fluid model are studied analytically employing the approach of Hirota bilinear transformation. We examine the conservation laws of the p-system with a generalized cubic van der Waals flow, nonlinear viscosity, and capillarity factors. This approach is used in the study to show numerous novel wave shapes and solitary solutions in compressible isothermal viscosity-capillarity van der Waals fluids. With the help of Mathematica, we extract various wave phenomena such as bright and dark breathers, kink, anti-kink, periodic lumps, periodic cross kink, M-shaped, mixed and multiple wave structures. The 3D dynamical behaviours and their related contour profiles for the obtained solutions are presented. The Hirota bilinear transformation approach's effectiveness and clarity, as shown in this paper, underscore its potential as a useful tool for deciphering complex physical processes. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Mathematical & Computer Modelling of Dynamical Systems is the property of Taylor & Francis Ltd 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: 10.1080/13873954.2025.2519290 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 33 StartPage: 1 Subjects: – SubjectFull: Solitons Type: general – SubjectFull: Compressible flow Type: general – SubjectFull: Conservation laws (Physics) Type: general – SubjectFull: Compressibility (Fluids) Type: general – SubjectFull: Viscosity Type: general – SubjectFull: Capillary flow Type: general – SubjectFull: Waves (Physics) Type: general – SubjectFull: Mathematical transformations Type: general Titles: – TitleFull: Interactions of soliton solutions for the generalized viscous capillarity compressible fluid model. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Ceesay, Baboucarr – PersonEntity: Name: NameFull: Ahmed, Nauman – PersonEntity: Name: NameFull: Baber, Muhammad Zafarullah – PersonEntity: Name: NameFull: Akgul, Ali – PersonEntity: Name: NameFull: Jawaz, Muhammad IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 12 Text: Dec2025 Type: published Y: 2025 Identifiers: – Type: issn-print Value: 13873954 Numbering: – Type: volume Value: 31 – Type: issue Value: 1 Titles: – TitleFull: Mathematical & Computer Modelling of Dynamical Systems Type: main |
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