Dynamics of Lump, Breather, Two-Waves and Other Interaction Solutions of (2+1)-Dimensional KdV Equation
Yazarlar (4)
Nahal Jannat University Of The Punjab, Pakistan
Nauman Raza
University Of The Punjab, Pakistan
University Of The Punjab, Pakistan
Doç. Dr. Melike KAPLAN YALÇIN Kastamonu Üniversitesi, Türkiye
Arzu Akbulut Bursa Uludağ Üniversitesi, Türkiye
| Makale Türü | Özgün Makale (SCOPUS dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | International Journal of Applied and Computational Mathematics | ||
| Dergi ISSN | 2349-5103 Scopus Dergi | ||
| Dergi Tarandığı Indeksler | Scopus | ||
| Makale Dili | İngilizce | Basım Tarihi | 10-2023 |
| Kabul Tarihi | 16-09-2023 | Yayınlanma Tarihi | 09-10-2023 |
| Cilt / Sayı / Sayfa | 9 / 6 / – | DOI | 10.1007/s40819-023-01601-8 |
| Makale Linki | http://dx.doi.org/10.1007/s40819-023-01601-8 | ||
| UAK Araştırma Alanları |
Uygulamalı Matematik
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| Özet |
| In this investigation, we address a particular variant of the Korteweg–de Vries (KdV) equation, specifically focusing on the (2+1)-dimensional KdV equation. The equation can model various physical phenomena in different fields, including fluid dynamics, plasma physics, nonlinear optics, and other areas where coupled wave interactions are important. To commence, we establish the Auto-Bäcklund and Cole–Hopf transformations for the given model, resulting in the derivation of numerous soliton-like solutions characterized by hyperbolic, trigonometric, and exponential function waves. Furthermore, we effectively elucidate the behavior of lump, lump–kink, breather, two-wave, and three-wave solutions using the Hirota bilinear technique. Extensive numerical simulations employing 3-D profiles are conducted with meticulous consideration of pertinent parameter values, providing additional insights into the distinctive … |
| Anahtar Kelimeler |
| (2+1)-dimensional KdV equation | Auto-Bäcklund transformation | Breather-wave | Complexitons | Lump–kink |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| Scopus | 9 |
| Google Scholar | 10 |