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Multiple-soliton solutions and analytical solutions to a nonlinear evolution equation      
Yazarlar
Doç. Dr. Melike KAPLAN YALÇIN Doç. Dr. Melike KAPLAN YALÇIN
Kastamonu Üniversitesi, Türkiye
Mehmet Naci Özer
Eskişehir Osmangazi Üniversitesi, Türkiye
Özet
The mathematical modelling of physical systems is generally expressed by nonlinear evolution equations. Therefore, it is critical to obtain solutions to these equations. We have employed the Hirota’s method to derive multiple soliton solutions to (2+1)-dimensional nonlinear evolution equation. Then we have studied the transformed rational function method to construct different types of analytical solutions to the nonlinear evolution equations. This algorithm provides a more convenient and systematical handling of the solution process of nonlinear evolution equations, unifying the homogeneous balance method, the mapping method, the tanh-function method, the F-expansion method and the exp-function method.
Anahtar Kelimeler
Exact solutions | Multiple-soliton solutions | Simplified Hirota’s method | Transformed rational function method
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı OPTICAL AND QUANTUM ELECTRONICS
Dergi ISSN 0306-8919
Dergi Tarandığı Indeksler SCI-Expanded
Dergi Grubu Q3
Makale Dili İngilizce
Basım Tarihi 01-2018
Cilt No 50
Sayı 1
Doi Numarası 10.1007/s11082-017-1270-6
Makale Linki https://link.springer.com/article/10.1007/s11082-017-1270-6