Some novel optical pulses in hydrodynamical nonlinear complex equation using M-truncated fractional derivative
Yazarlar (5)
Doç. Dr. Esin İLHAN Kırşehir Ahi Evran Üniversitesi, Türkiye
Shafqat Ur Rehman
Grand Asian University, Türkiye
Grand Asian University, Türkiye
Muhammad Bilal
Shanghai University, Çin
Shanghai University, Çin
Prof. Dr. Hacı Mehmet Başkonuş Harran Üniversitesi, Türkiye
Yazen M.Alawaideh Applied Science Private University, Ürdün
| Makale Türü |
Özgün Makale
(SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
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| Dergi Adı | Scientific Reports (Q1) | ||
| Dergi ISSN | 2045-2322 Dergi Bilgileri (2025) | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 09-2025 |
| Cilt / Sayı / Sayfa | 15 / 1 / 32139–0 | DOI | 10.1038/s41598-025-17423-1 |
| Makale Linki | https://www.nature.com/articles/s41598-025-17423-1 | ||
| UAK Araştırma Alanları |
Matematiksel Analiz
Uygulamalı Matematik
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| 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 … |
| Anahtar Kelimeler |
| Complex Ginzburg–Landau equation | Energy balance method | Fractional derivative | Generalized Arnous method | Kumar-Malik method | Soliton solutions |
| Atıf Sayıları | |
| Web of Science | 1 |
| Scopus | 1 |
| Google Scholar | 1 |