Exploring nonlinear wave phenomena in (3+1)-dimensional Jimbo–Miwa equation: A comprehensive study of singular, kink-type, and periodic traveling dynamics
Yazarlar (5)
Zil-E Huma University of Engineering And Technology, Lahore
Asma Rashid Butt University of Engineering And Technology, Lahore
Doç. Dr. Melike KAPLAN YALÇIN Kastamonu Üniversitesi, Türkiye
Sarvar Iskandarov Urgench State University
Aybek Seytov University of World Economy And Diplomacy
| Makale Türü | Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Modern Physics Letters A (Q2) | ||
| Dergi ISSN | 0217-7323 Dergi Bilgileri (2026) | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 04-2026 |
| Cilt / Sayı / Sayfa | 41 / 2650063 / – | DOI | 10.1142/S021773232650063X |
| Makale Linki | https://doi.org/10.1142/s021773232650063x | ||
| UAK Araştırma Alanları |
Uygulamalı Matematik
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| Özet |
| The objective of this manuscript is to examine new soliton solutions for the (3+1)-dimensional extended Jimbo-Miwa model with nonlinear properties. The model represents a wide range of scientific processes in domains such as mathematical biology, nonlinear optics, and quantum field theory, which include complex wave interactions. To begin, we employ the homogeneous balance method to create the original Auto-Bäcklund and Cole-Hopf transformations for the given model, leading to the derivation of various soliton-like solutions that exhibit hyperbolic, trigonometric, and exponential wave functions. After that, a Bäcklund transformation is generated, which has an equal number of arbitrary parameters and bilinear equations. Then, this formation is used to generate two categories of exponential and rational traveling wave solutions with arbitrary wave numbers, resulting in numerous soliton-like solutions. This … |
| Anahtar Kelimeler |
| Bäcklund transformation | complexiton solution | extended transformed rational function approach | homogeneous balance method |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| Web of Science | 1 |
| Google Scholar | 1 |