Painlevé analysis, auto-Bäcklund transformation and various new multisoliton solutions for the (3+1)-dimensional gBK equation with time-dependent variable coefficients.
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| Title: | Painlevé analysis, auto-Bäcklund transformation and various new multisoliton solutions for the (3+1)-dimensional gBK equation with time-dependent variable coefficients. |
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| Authors: | Saha Ray, S.1 (AUTHOR) santanusaharay@yahoo.com, Rahaman, Md. Johiur1 (AUTHOR) |
| Source: | Modern Physics Letters B. 11/10/2025, Vol. 39 Issue 31, p1-20. 20p. |
| Subjects: | Analytical solutions, Equations |
| Abstract: | This paper studies the (3 + 1)-dimensional generalized Bogoyavlensky–Konopelchenko (gBK) equation with time-dependent variable coefficients. Integrability test with the aid of Painlevé analysis is being applied to the equation under consideration. Painlevé analysis was used to produce an auto-Bäcklund transformation for the given equation. The auto-Bäcklund transformation method was used to provide analytical solutions. By using this method, three distinct families of analytic solutions are obtained for the gBK equation. Also, Hereman and Nuseir method is employed to obtain multi-soliton solutions for the equation under consideration. All the obtained results are presented by 3D graphs using various functions and parametric values. The physical relevance of the acquired solutions has been demonstrated by these opulent graphs. [ABSTRACT FROM AUTHOR] |
| Copyright of Modern Physics Letters B is the property of World Scientific Publishing Company 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: 186449812 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Painlevé analysis, auto-Bäcklund transformation and various new multisoliton solutions for the (3+1)-dimensional gBK equation with time-dependent variable coefficients. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Saha+Ray%2C+S%2E%22">Saha Ray, S.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> santanusaharay@yahoo.com</i><br /><searchLink fieldCode="AR" term="%22Rahaman%2C+Md%2E+Johiur%22">Rahaman, Md. Johiur</searchLink><relatesTo>1</relatesTo> (AUTHOR) – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Modern+Physics+Letters+B%22">Modern Physics Letters B</searchLink>. 11/10/2025, Vol. 39 Issue 31, p1-20. 20p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Analytical+solutions%22">Analytical solutions</searchLink><br /><searchLink fieldCode="DE" term="%22Equations%22">Equations</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: This paper studies the (3 + 1)-dimensional generalized Bogoyavlensky–Konopelchenko (gBK) equation with time-dependent variable coefficients. Integrability test with the aid of Painlevé analysis is being applied to the equation under consideration. Painlevé analysis was used to produce an auto-Bäcklund transformation for the given equation. The auto-Bäcklund transformation method was used to provide analytical solutions. By using this method, three distinct families of analytic solutions are obtained for the gBK equation. Also, Hereman and Nuseir method is employed to obtain multi-soliton solutions for the equation under consideration. All the obtained results are presented by 3D graphs using various functions and parametric values. The physical relevance of the acquired solutions has been demonstrated by these opulent graphs. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Modern Physics Letters B is the property of World Scientific Publishing Company 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.) |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=186449812 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1142/S0217984925501611 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 20 StartPage: 1 Subjects: – SubjectFull: Analytical solutions Type: general – SubjectFull: Equations Type: general Titles: – TitleFull: Painlevé analysis, auto-Bäcklund transformation and various new multisoliton solutions for the (3+1)-dimensional gBK equation with time-dependent variable coefficients. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Saha Ray, S. – PersonEntity: Name: NameFull: Rahaman, Md. Johiur IsPartOfRelationships: – BibEntity: Dates: – D: 10 M: 11 Text: 11/10/2025 Type: published Y: 2025 Identifiers: – Type: issn-print Value: 02179849 Numbering: – Type: volume Value: 39 – Type: issue Value: 31 Titles: – TitleFull: Modern Physics Letters B Type: main |
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