On the Hermite and Mathieu Special Characterizations to the Logarithmic Zakharov–Kuznetsov Equations
| dc.contributor.author | Pinar, Zehra | |
| dc.contributor.author | Baskonus, Haci Mehmet | |
| dc.contributor.author | Veeresha, P. | |
| dc.contributor.author | Gao, Wei | |
| dc.date.accessioned | 2024-10-29T17:43:26Z | |
| dc.date.available | 2024-10-29T17:43:26Z | |
| dc.date.issued | 2024 | |
| dc.department | Tekirdağ Namık Kemal Üniversitesi | en_US |
| dc.description.abstract | In this paper, we find the new travelling wave solutions for several aspects of logarithmic Zakharov–Kuznetsov (ZK) equations using an efficient technique called the special function method which is composed of Hermite and Mathieu differential equations being novel and special functions. In order to illustrate the efficiency of the projected scheme, we considered four different examples with different cases, namely, logarithmic ZK (log-ZK) equation, logarithmic modified ZK (log-mZK) equation, and logarithmic ZK modified equal width (log-ZK-mEW) equation and logarithmic ZK–Benjamin–Bona–Mahony (log-ZKBBM) equation. The behaviour of the obtained results and corresponding consequences are illustrated and captured. Finally, the obtained results confirm that the considered solution procedure can be widely employed to find the solution and also capture some interesting and stimulating consequences. © 2023, The Author(s), under exclusive licence to Springer Nature India Private Limited. | en_US |
| dc.identifier.doi | 10.1007/s40819-023-01595-3 | |
| dc.identifier.issn | 2349-5103 | |
| dc.identifier.issue | 1 | en_US |
| dc.identifier.scopus | 2-s2.0-85180249393 | en_US |
| dc.identifier.uri | https://doi.org/10.1007/s40819-023-01595-3 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.11776/12364 | |
| dc.identifier.volume | 10 | en_US |
| dc.indekslendigikaynak | Scopus | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.relation.ispartof | International Journal of Applied and Computational Mathematics | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Hermite and Mathieu differential equations | en_US |
| dc.subject | Logarithmic Zakharov–Kuznetsov equation | en_US |
| dc.subject | Special function method | en_US |
| dc.title | On the Hermite and Mathieu Special Characterizations to the Logarithmic Zakharov–Kuznetsov Equations | en_US |
| dc.type | Article | en_US |
