New Exact Solutions of Kolmogorov Petrovskii Piskunov Equation, Fitzhugh Nagumo Equation, and Newell-Whitehead Equation
| dc.contributor.author | Javeed, S. | |
| dc.contributor.author | Baleanu, D. | |
| dc.contributor.author | Riaz, S. | |
| dc.contributor.author | Rezazadeh, H. | |
| dc.contributor.author | Chu, Y.-M. | |
| 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 | 2022-07-07T11:45:18Z | |
| dc.date.accessioned | 2025-09-18T13:26:21Z | |
| dc.date.available | 2022-07-07T11:45:18Z | |
| dc.date.available | 2025-09-18T13:26:21Z | |
| dc.date.issued | 2020 | |
| dc.description.abstract | This work presents the new exact solutions of nonlinear partial differential equations (PDEs). The solutions are acquired by using an effectual approach, the first integral method (FIM). The suggested technique is implemented to obtain the solutions of space-time Kolmogorov Petrovskii Piskunov (KPP) equation and its derived equations, namely, Fitzhugh Nagumo (FHN) equation and Newell-Whitehead (NW) equation. The considered models are significant in biology. The KPP equation describes genetic model for spread of dominant gene through population. The FHN equation is imperative in the study of intercellular trigger waves. Similarly, the NW equation is applied for chemical reactions, Faraday instability, and Rayleigh-Benard convection. The proposed technique FIM can be applied to find the exact solutions of PDEs. © 2020 Yu-Ming Chu et al. | en_US |
| dc.description.sponsorship | National Natural Science Foundation of China, NSFC, (11601485, 11626101, 11701176, 11871202, 11971142, 61673169) | en_US |
| dc.identifier.citation | Chu, Yu-Ming...et al. (2020). "New Exact Solutions of Kolmogorov Petrovskii Piskunov Equation, Fitzhugh Nagumo Equation, and Newell-Whitehead Equation", Advances in Mathematical Physics, Vol. 2020. | en_US |
| dc.identifier.doi | 10.1155/2020/5098329 | |
| dc.identifier.issn | 1687-9120 | |
| dc.identifier.scopus | 2-s2.0-85096763179 | |
| dc.identifier.uri | https://doi.org/10.1155/2020/5098329 | |
| dc.identifier.uri | https://hdl.handle.net/123456789/12558 | |
| dc.language.iso | en | en_US |
| dc.publisher | Hindawi Limited | en_US |
| dc.relation.ispartof | Advances in Mathematical Physics | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.title | New Exact Solutions of Kolmogorov Petrovskii Piskunov Equation, Fitzhugh Nagumo Equation, and Newell-Whitehead Equation | en_US |
| dc.title | New Exact Solutions of Kolmogorov Petrovskii Piskunov Equation, Fitzhugh Nagumo Equation, and Newell-Whitehead Equation | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.institutional | Baleanu, Dumitru | |
| gdc.author.scopusid | 9839077200 | |
| gdc.author.scopusid | 15047920200 | |
| gdc.author.scopusid | 7005872966 | |
| gdc.author.scopusid | 57209536132 | |
| gdc.author.scopusid | 56913185600 | |
| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | Chu Y.-M., Department of Mathematics, Huzhou University, Huzhou, 313000, China, Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Changsha University of Science and Technology, Changsha, 410114, China; Javeed S., Department of Mathematics, Comsats University Islamabad, Park Road, Chak Shahzad, Islamabad, Pakistan; Baleanu D., Department of Mathematics, Cankaya University, Ankara, Turkey, Institute of Space Sciences, Magurele-Bucharest, Romania; Riaz S., Department of Mathematics, Riphah International University, Sector I-14, Islamabad, Pakistan; Rezazadeh H., Faculty of Engineering Technology, Amol University of Special Modern Technologies, Amol, Iran | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q3 | |
| gdc.description.volume | 2020 | en_US |
| gdc.description.wosquality | Q3 | |
| gdc.identifier.openalex | W3103519945 | |
| gdc.openalex.fwci | 0.17798814 | |
| gdc.openalex.normalizedpercentile | 0.58 | |
| gdc.opencitations.count | 9 | |
| gdc.plumx.scopuscites | 12 | |
| gdc.scopus.citedcount | 12 | |
| relation.isAuthorOfPublication | f4fffe56-21da-4879-94f9-c55e12e4ff62 | |
| relation.isAuthorOfPublication.latestForDiscovery | f4fffe56-21da-4879-94f9-c55e12e4ff62 | |
| relation.isOrgUnitOfPublication | 26a93bcf-09b3-4631-937a-fe838199f6a5 | |
| relation.isOrgUnitOfPublication | 28fb8edb-0579-4584-a2d4-f5064116924a | |
| relation.isOrgUnitOfPublication | 0b9123e4-4136-493b-9ffd-be856af2cdb1 | |
| relation.isOrgUnitOfPublication.latestForDiscovery | 26a93bcf-09b3-4631-937a-fe838199f6a5 |