Soliton Solutions for the Time Fractional Hamiltonian System by Various Approaches
IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, cilt.42, ss.1587-1593, 2018 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 42
- Basım Tarihi: 2018
- Doi Numarası: 10.1007/s40995-017-0275-0
- Dergi Adı: IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.1587-1593
- Eskişehir Osmangazi Üniversitesi Adresli: Evet
Özet
In this paper, we apply the Ansatz method, the exp-function method and the -expansion method to establish the exact solutions of the time fractional Hamiltonian system in the sense of the Jumarie's modified Riemann-Liouville derivative. These methods are applied to obtain soliton solutions to the model equations. These results and the solution methodology make a profound impact in the study of soliton solutions. As a result, some soliton solutions for them are obtained. The results show that these methods are a very effective and powerful mathematical tool for solving nonlinear fractional equations arising in mathematical physics.