New Solitary Wave Solutions and Stability Analysis of the Benney-Luke and the Phi-4 Equations in Mathematical Physics
| dc.contributor.author | Inc, Mustafa | |
| dc.contributor.author | Yusuf, Abdullahi | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Ghanbari, Behzad | |
| dc.contributor.authorID | 56389 | tr_TR |
| dc.contributor.other | 02.02. Matematik | |
| dc.contributor.other | 02. Fen-Edebiyat Fakültesi | |
| dc.contributor.other | 01. Çankaya Üniversitesi | |
| dc.date.accessioned | 2022-07-25T11:04:54Z | |
| dc.date.accessioned | 2025-09-18T12:48:28Z | |
| dc.date.available | 2022-07-25T11:04:54Z | |
| dc.date.available | 2025-09-18T12:48:28Z | |
| dc.date.issued | 2019 | |
| dc.description | Yusuf, Abdullahi/0000-0002-8308-7943 | en_US |
| dc.description.abstract | In this paper, we present new solitary wave solutions for the Benney-Luke equation (BLE) and Phi-4 equation (PE). The new generalized rational function method (GERFM) is used to reach such solutions. Moreover, the stability for the governing equations is investigated via the aspect of linear stability analysis. It is proved that, both the governing equations are stable. We can also solve other nonlinear system of PDEs which are involve in mathematical physics and many other branches of physical sciences with the help of this new method. | en_US |
| dc.identifier.citation | Ghanbari, Behzad...et al. (2019). "New solitary wave solutions and stability analysis of the Benney-Luke and the Phi-4 equations in mathematical physics", AIMS MATHEMATICS, Vol. 4, No. 6, pp. 1523-1539. | en_US |
| dc.identifier.doi | 10.3934/math.2019.6.1523 | |
| dc.identifier.issn | 2473-6988 | |
| dc.identifier.scopus | 2-s2.0-85073791416 | |
| dc.identifier.uri | https://doi.org/10.3934/math.2019.6.1523 | |
| dc.identifier.uri | https://hdl.handle.net/123456789/12064 | |
| dc.language.iso | en | en_US |
| dc.publisher | Amer inst Mathematical Sciences-aims | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Benney-Luke Equation | en_US |
| dc.subject | Phi-4 Equation | en_US |
| dc.subject | Gerfm | en_US |
| dc.subject | Stability Analysis | en_US |
| dc.title | New Solitary Wave Solutions and Stability Analysis of the Benney-Luke and the Phi-4 Equations in Mathematical Physics | en_US |
| dc.title | New solitary wave solutions and stability analysis of the Benney-Luke and the Phi-4 equations in mathematical physics | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Yusuf, Abdullahi/0000-0002-8308-7943 | |
| gdc.author.institutional | Baleanu, Dumitru | |
| gdc.author.scopusid | 35174751300 | |
| gdc.author.scopusid | 56051853500 | |
| gdc.author.scopusid | 57193690600 | |
| gdc.author.scopusid | 7005872966 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Ghanbari, Behzad/Aad-1848-2019 | |
| gdc.author.wosid | Inc, Mustafa/C-4307-2018 | |
| gdc.author.wosid | Yusuf, Abdullahi/L-9956-2018 | |
| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Ghanbari, Behzad] Kermanshah Univ Technol, Dept Engn Sci, Kermanshah, Iran; [Inc, Mustafa] Firat Univ, Sci Fac, Dept Math, TR-23119 Elazig, Turkey; [Yusuf, Abdullahi] Fed Univ Dutse, Sci Fac, Dept Math, Dutse 7156, Nigeria; [Baleanu, Dumitru] Cankaya Univ, Sci Fac, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania | en_US |
| gdc.description.endpage | 1539 | en_US |
| gdc.description.issue | 6 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.startpage | 1523 | en_US |
| gdc.description.volume | 4 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q1 | |
| gdc.identifier.openalex | W2976988296 | |
| gdc.identifier.wos | WOS:000503235600001 | |
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| gdc.openalex.toppercent | TOP 10% | |
| gdc.opencitations.count | 37 | |
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| gdc.plumx.scopuscites | 41 | |
| gdc.scopus.citedcount | 41 | |
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