Academic Journal
Exploring Solitons Solutions of a (3+1)-Dimensional Fractional mKdV-ZK Equation
| العنوان: | Exploring Solitons Solutions of a (3+1)-Dimensional Fractional mKdV-ZK Equation |
|---|---|
| المؤلفون: | Amjad E. Hamza, Osman Osman, Muhammad Umair Sarwar, Khaled Aldwoah, Hicham Saber, Manel Hleili |
| المصدر: | Fractal and Fractional, Vol 8, Iss 9, p 498 (2024) |
| بيانات النشر: | MDPI AG, 2024. |
| سنة النشر: | 2024 |
| المجموعة: | LCC:Thermodynamics LCC:Mathematics LCC:Analysis |
| مصطلحات موضوعية: | ϕ6 model expansion approach, solitons, fractional derivative, Thermodynamics, QC310.15-319, Mathematics, QA1-939, Analysis, QA299.6-433 |
| الوصف: | This study presents the application of the ϕ6 model expansion technique to find exact solutions for the (3+1)-dimensional space-time fractional modified KdV-Zakharov-Kuznetsov equation under Jumarie’s modified Riemann–Liouville derivative (JMRLD). The suggested method captures dark, periodic, traveling, and singular soliton solutions, providing deep insights into wave behavior. Clear graphics demonstrate that the solutions are greatly affected by changes in the fractional order, deepening our understanding and revealing the hidden dynamics of wave propagation. The considered equation has several applications in fluid dynamics, plasma physics, and nonlinear optics. |
| نوع الوثيقة: | article |
| وصف الملف: | electronic resource |
| اللغة: | English |
| تدمد: | 2504-3110 |
| Relation: | https://www.mdpi.com/2504-3110/8/9/498; https://doaj.org/toc/2504-3110 |
| DOI: | 10.3390/fractalfract8090498 |
| URL الوصول: | https://doaj.org/article/7d3e81c710044da7a735515329215ed3 |
| رقم الانضمام: | edsdoj.7d3e81c710044da7a735515329215ed3 |
| قاعدة البيانات: | Directory of Open Access Journals |
| تدمد: | 25043110 |
|---|---|
| DOI: | 10.3390/fractalfract8090498 |