Solitary wave solutions and traveling wave solutions for systems of time-fractional nonlinear wave equations via an analytical approach
Yazarlar (4)
Hayman Thabet Savitribai Phule Pune University, Hindistan
Subhash Kendre Savitribai Phule Pune University, Hindistan
James Peters
University of Manitoba, Kanada
University of Manitoba, Kanada
Doç. Dr. Melike KAPLAN YALÇIN Kastamonu Üniversitesi, Türkiye
| Makale Türü |
Özgün Makale
(SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
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| Dergi Adı | Computational and Applied Mathematics (Q1) | ||
| Dergi ISSN | 2238-3603 Dergi Bilgileri (2020) | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 05-2020 |
| Kabul Tarihi | 09-04-2020 | Yayınlanma Tarihi | 19-05-2020 |
| Cilt / Sayı / Sayfa | 39 / 3 / 144–0 | DOI | 10.1007/s40314-020-01163-1 |
| Makale Linki | http://dx.doi.org/10.1007/s40314-020-01163-1 | ||
| UAK Araştırma Alanları |
Uygulamalı Matematik
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| Özet |
| This paper introduces a new approximate-analytical approach for solving systems of Fractional Nonlinear Partial Differential Equations (FNPDEs). However, the main advantage of this new approximate-analytical approach is to obtain the analytical solution for general systems of FNPDEs in forms of convergent series with easily computable components using Caputo fractional partial derivative. Moreover, the convergence theorem and error analysis of the proposed method are also shown. Solitary wave solutions and traveling wave solutions for the system of fractional dispersive wave equations and the system of fractional long water wave equations are successfully obtained. The numerical solutions are also obtained in forms of tables and graphs to confirm the accuracy and efficiency of the suggested method. |
| Anahtar Kelimeler |
| New approximate-analytical approach | Solitary wave solutions | Systems of fractional nonlinear partial differential equations | Systems of time-fractional nonlinear wave equations | Traveling wave solutions |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| Web of Science | 16 |
| Scopus | 15 |
| Google Scholar | 19 |