On the Hermite and Mathieu Special Characterizations to the Logarithmic Zakharov–Kuznetsov Equations
Küçük Resim Yok
Tarih
2024
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
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.
Açıklama
Anahtar Kelimeler
Hermite and Mathieu differential equations, Logarithmic Zakharov–Kuznetsov equation, Special function method
Kaynak
International Journal of Applied and Computational Mathematics
WoS Q Değeri
Scopus Q Değeri
Cilt
10
Sayı
1
