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Exact solutions of nonlinear Schrödinger equation by using symbolic computation      
Yazarlar
Doç. Dr. Melike KAPLAN YALÇIN Doç. Dr. Melike KAPLAN YALÇIN
Kastamonu Üniversitesi, Türkiye
Ömer Ünsal
Eskişehir Osmangazi Üniversitesi, Türkiye
Ahmet Bekir
Eskişehir Osmangazi Üniversitesi, Türkiye
Özet
The (G′/G,1/G)-expansion method and (1/G′)-expansion method are interesting approaches to find new and more general exact solutions to the nonlinear evolution equations. In this paper, these methods are applied to construct new exact travelling wave solutions of nonlinear Schrödinger equation. The travelling wave solutions are expressed by hyperbolic functions, trigonometric functions and rational functions. It is shown that the proposed methods provide a powerful mathematical tool for solving nonlinear wave equations in mathematical physics and engineering.
Anahtar Kelimeler
(1/G′)-expansion method | (G′/G,1/G)-expansion method | exact solutions | nonlinear Schrödinger equation | symbolic computation
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı MATHEMATICAL METHODS IN THE APPLIED SCIENCES
Dergi ISSN 0170-4214
Dergi Tarandığı Indeksler SCI-Expanded
Dergi Grubu Q1
Makale Dili İngilizce
Basım Tarihi 05-2016
Cilt No 39
Sayı 8
Sayfalar 2093 / 2099
Doi Numarası 10.1002/mma.3626
Makale Linki http://dx.doi.org/10.1002/mma.3626