Families of Travelling Waves Solutions for Fractional-Order Extended Shallow Water Wave Equations, Using an Innovative Analytical Method
| dc.contributor.author | Shoaib | |
| dc.contributor.author | Balean, Dumitru | |
| dc.contributor.author | Kumam, Poom | |
| dc.contributor.author | Al-Zaidy, Jameel F. | |
| dc.contributor.author | Khan, Hassan | |
| dc.date.accessioned | 2020-01-16T13:16:28Z | |
| dc.date.accessioned | 2025-09-18T12:09:26Z | |
| dc.date.available | 2020-01-16T13:16:28Z | |
| dc.date.available | 2025-09-18T12:09:26Z | |
| dc.date.issued | 2019 | |
| dc.description | Khan, Hassan/0000-0001-6417-1181; Kumam, Poom/0000-0002-5463-4581 | en_US |
| dc.description.abstract | In the present research article, an efficient analytical technique is applied for travelling waves solutions of fractional partial differential equations. The investigated problems are reduced to ordinary differential equations, by a variable transformation. The solutions of the resultant ordinary differential equations are expressed in the term of some suitable polynomials, which provide trigonometric, hyperbolic and rational function solutions with some free parameters. To confirm the reliability and novelty of the current work, the proposed method is applied for the solutions of (2+1) and (3+1)-dimensional fractional-order extended shallow water wave equations. | en_US |
| dc.description.sponsorship | Center of Excellence in Theoretical and Computational Science (TaCS-CoE); Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), Bangkok, Thailand | en_US |
| dc.description.sponsorship | The work of P. Kumam was supported in part by the Center of Excellence in Theoretical and Computational Science (TaCS-CoE), and in part by the Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), Bangkok, Thailand. | en_US |
| dc.identifier.citation | Khan, Hassan...et al. (2019). "Families of Travelling Waves Solutions for Fractional-Order Extended Shallow Water Wave Equations, Using an Innovative Analytical Method", IEEE Access, Vol. 7. | en_US |
| dc.identifier.doi | 10.1109/ACCESS.2019.2933188 | |
| dc.identifier.issn | 2169-3536 | |
| dc.identifier.scopus | 2-s2.0-85071159468 | |
| dc.identifier.uri | https://doi.org/10.1109/ACCESS.2019.2933188 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/11413 | |
| dc.language.iso | en | en_US |
| dc.publisher | Ieee-inst Electrical Electronics Engineers inc | en_US |
| dc.relation.ispartof | IEEE Access | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Families Of Solutions | en_US |
| dc.subject | Analytical Method | en_US |
| dc.subject | Shallow Water Wave Equations | en_US |
| dc.title | Families of Travelling Waves Solutions for Fractional-Order Extended Shallow Water Wave Equations, Using an Innovative Analytical Method | en_US |
| dc.title | Families of Travelling Waves Solutions for Fractional-Order Extended Shallow Water Wave Equations, Using an Innovative Analytical Method | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Khan, Hassan/0000-0001-6417-1181 | |
| gdc.author.id | Kumam, Poom/0000-0002-5463-4581 | |
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| gdc.author.wosid | Khan, Hassan/Jxx-2410-2024 | |
| gdc.author.wosid | Kumam, Poom/E-7122-2011 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Khan, Hassan] AWKUM, Dept Math, Mardan 23200, Pakistan; [Shoaib] AIOU, Dept Math, Islamabad 44000, Pakistan; [Balean, Dumitru] Cankaya Univ, Fac Arts & Sci, Dept Math, TR-06530 Ankara, Turkey; [Balean, Dumitru] Inst Space Sci, Magurele 077125, Romania; [Kumam, Poom] KMUTT, Dept Math, Fac Sci, Ctr Excellence Theoret & Computat Sci TaCS CoE, Bangkok 10140, Thailand; [Kumam, Poom] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40402, Taiwan; [Al-Zaidy, Jameel F.] King Khaild Univ, Fac Sci & Arts, Dept Math, Abha 61421, Saudi Arabia | en_US |
| gdc.description.endpage | 107532 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 107523 | en_US |
| gdc.description.volume | 7 | en_US |
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| gdc.oaire.keywords | shallow water wave equations | |
| gdc.oaire.keywords | Geometry | |
| gdc.oaire.keywords | Periodic Wave Solutions | |
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| gdc.oaire.keywords | Orthogonal Polynomials | |
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| gdc.oaire.keywords | Trigonometric functions | |
| gdc.oaire.keywords | Time-Fractional Diffusion Equation | |
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| gdc.oaire.keywords | Rational function | |
| gdc.oaire.keywords | Statistical and Nonlinear Physics | |
| gdc.oaire.keywords | Partial differential equation | |
| gdc.oaire.keywords | families of solutions | |
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| gdc.oaire.keywords | Physical Sciences | |
| gdc.oaire.keywords | Hyperbolic partial differential equation | |
| gdc.oaire.keywords | Fractional Calculus | |
| gdc.oaire.keywords | Electrical engineering. Electronics. Nuclear engineering | |
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| gdc.oaire.keywords | Ordinary differential equation | |
| gdc.oaire.keywords | Rogue Waves in Nonlinear Systems | |
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