On the Hermite and Mathieu Special Characterizations to the Logarithmic ZakharovKuznetsov Equations
- Title
- On the Hermite and Mathieu Special Characterizations to the Logarithmic ZakharovKuznetsov Equations
- Creator
- Pinar Z.; Baskonus H.M.; Veeresha P.; Gao W.
- Description
- In this paper, we find the new travelling wave solutions for several aspects of logarithmic ZakharovKuznetsov (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 ZKBenjaminBonaMahony (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.
- Source
- International Journal of Applied and Computational Mathematics, Vol-10, No. 1
- Date
- 2024-01-01
- Publisher
- Springer
- Subject
- Hermite and Mathieu differential equations; Logarithmic ZakharovKuznetsov equation; Special function method
- Coverage
- Pinar Z., Department Department of Mathematics, Tekirdag Nam?k Kemal University, Tekirdag, Turkey; Baskonus H.M., Faculty of Education, Harran University, Sanliurfa, Turkey; Veeresha P., Department of Mathematics, CHRIST (Deemed to Be University), Bengaluru, 560029, India; Gao W., School of Information Science and Technology, Yunnan Normal University, Kunming, 650500, China
- Rights
- Restricted Access
- Relation
- ISSN: 23495103
- Format
- Online
- Language
- English
- Type
- Article
Collection
Citation
Pinar Z.; Baskonus H.M.; Veeresha P.; Gao W., “On the Hermite and Mathieu Special Characterizations to the Logarithmic ZakharovKuznetsov Equations,” CHRIST (Deemed To Be University) Institutional Repository, accessed February 25, 2025, https://archives.christuniversity.in/items/show/13301.