| Yazarlar (5) |
Doç. Dr. Esin İLHAN
Kırşehir Ahi Evran Üniversitesi, Türkiye |
Shafqat Ur Rehman
Grand Asian University, Pakistan |
|
Muhammad Bilal
Shanghai University, China |
|
Haci Mehmet Baskonus
Harran Üniversitesi, Turkey |
|
Yazen M. Alawaideh
Applied Science Private University, Jordan |
| Özet |
| This study investigates soliton solutions and dynamic wave structures in the complex Ginzburg-Landau (CGL) equation, which is crucial for understanding wave propagation in various physical systems. We employ three analytical methods: the Kumar-Malik method, the generalized Arnous method, and the energy balance method to derive novel closed-form solutions. These solutions exhibit diverse solitonic phenomena, including multi-wave solitons, complex solitons, singular solitons, periodic oscillating waves, dark-wave, and bright-wave profiles. Our results reveal new families of exact solitary waves via the generalized Arnous method and diverse soliton solutions through the Kumar-Malik method, including hyperbolic, trigonometric, and Jacobi elliptic functions. Verification is ensured through back-substitution to the considered model using Mathematica software. Additionally, we plot the various graphs with the appropriate parametric values under the influence of the M-truncated fractional derivative to visualize the solution behaviors with varying parameter values. This research contributes significantly to understanding wave dynamics in physical oceanography, and the unique outcomes explored in this research will play a vital role for the forthcoming investigation of nonlinear equations. |
| Anahtar Kelimeler |
| Complex Ginzburg–Landau equation | Energy balance method | Fractional derivative | Generalized Arnous method | Kumar-Malik method | Soliton solutions |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale |
| Dergi Adı | Scientific Reports |
| Dergi ISSN | 2045-2322 Wos Dergi Scopus Dergi |
| Dergi Grubu | Q1 |
| Makale Dili | İngilizce |
| Basım Tarihi | 12-2025 |
| Cilt No | 15 |
| Sayı | 1 |
| Doi Numarası | 10.1038/s41598-025-17423-1 |
