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Exact Travelling Wave Solutions of the Nonlinear Evolution Equations by Auxiliary Equation Method      
Yazarlar
Doç. Dr. Melike KAPLAN YALÇIN Doç. Dr. Melike KAPLAN YALÇIN
Kastamonu Üniversitesi, Türkiye
Arzu Akbulut
Ahmet Bekir
Eskişehir Osmangazi Üniversitesi, Türkiye
Özet
The auxiliary equation method presents wide applicability to handling nonlinear wave equations. In this article, we establish new exact travelling wave solutions of the nonlinear Zoomeron equation, coupled Higgs equation, and equal width wave equation. The travelling wave solutions are expressed by the hyperbolic functions, trigonometric functions, and rational functions. It is shown that the proposed method provides a powerful mathematical tool for solving nonlinear wave equations in mathematical physics and engineering. Throughout the article, all calculations are made with the aid of the Maple packet program.
Anahtar Kelimeler
Coupled Higgs equation | Equal width wave (EW) Equation | Exact solutions | Symbolic computation | Zoomeron equation
Makale Türü Diğer (Teknik, not, yorum, vaka takdimi, editöre mektup, özet, kitap krıtiği, araştırma notu, bilirkişi raporu ve benzeri)
Makale Alt Türü SCI, SSCI, AHCI, SCI-Exp dergilerinde yayımlanan teknik not, editöre mektup, tartışma, vaka takdimi ve özet türünden makale
Dergi Adı ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES
Dergi ISSN 0932-0784
Dergi Tarandığı Indeksler SCI-Expanded
Makale Dili İngilizce
Basım Tarihi 11-2015
Cilt No 70
Sayı 11
Sayfalar 969 / 974
Doi Numarası 10.1515/zna-2015-0122
Makale Linki http://dx.doi.org/10.1515/zna-2015-0122