Nonlinear wave dynamics: soliton and complexiton solutions of the generalized shallow-water-like equation in coastal and plasma physics
Yazarlar (5)
Doç. Dr. Melike KAPLAN YALÇIN Kastamonu Üniversitesi, Türkiye
Nauman Raza
University Of The Punjab, Pakistan
University Of The Punjab, Pakistan
Nahal Jannat University Of The Punjab, Pakistan
Arzu Akbulut Bursa Uludağ Üniversitesi, Türkiye
Taseer Muhammad King Khalid University, Suudi Arabistan
| Makale Türü | Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Indian Journal of Physics (Q3) | ||
| Dergi ISSN | 0973-1458 Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 12-2025 |
| Cilt / Sayı / Sayfa | 0 / 1 / – | DOI | 10.1007/s12648-025-03886-5 |
| Makale Linki | https://doi.org/10.1007/s12648-025-03886-5 | ||
| UAK Araştırma Alanları |
Uygulamalı Matematik
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| Özet |
| This research specializes in obtaining new solitary wave solutions to a generalized shallow water type equation. This equation is a very important model in fluid dynamics that characterizes different dynamics of shallow water waves under varying conditions. In this work, the Auto-Bäcklund transformation associated with the equation was established by using the extended homogeneous balance technique in conjunction with the symbolic computing powers of Maple. The latter approach facilitated the systematic derivation of several explicit solutions, which serve as a basis for better understanding the dynamics of the equation. Furthermore, by utilizing the extended transformed rational function approach, we explore a broader class of solutions and successfully identify complexiton solutions—special types of wave structures that exhibit both solitary and oscillatory characteristics. To provide deeper insight into the … |
| Anahtar Kelimeler |
| Auto-Bäcklund transformation | Complexiton solutions | Extended transformed rational function method | Hirota direct method | Homogeneous balance technique | Soliton |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| Scopus | 1 |