Multiple-soliton solutions and analytical solutions to a nonlinear evolution equation
Yazarlar (2)
Doç. Dr. Melike KAPLAN YALÇIN Kastamonu Üniversitesi, Türkiye
Mehmet Naci Özer Eskişehir Osmangazi Üniversitesi, Türkiye
Makale Türü Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
Dergi Adı Optical and Quantum Electronics (Q3)
Dergi ISSN 0306-8919 Wos Dergi Scopus Dergi
Dergi Tarandığı Indeksler SCI-Expanded
Makale Dili İngilizce Basım Tarihi 01-2018
Kabul Tarihi Yayınlanma Tarihi 30-11-2017
Cilt / Sayı / Sayfa 50 / 1 / 2–0 DOI 10.1007/s11082-017-1270-6
Makale Linki https://link.springer.com/article/10.1007/s11082-017-1270-6
UAK Araştırma Alanları
Uygulamalı Matematik
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
BM Sürdürülebilir Kalkınma Amaçları
Atıf Sayıları
Web of Science 28
Scopus 32
Google Scholar 38
Multiple-soliton solutions and analytical solutions to a nonlinear evolution equation

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