Exact solutions of nonlinear wave equations using (G0 /G, 1/G)-expansion method
Demiray, S., U¨nsal, ,., Bekir, A. (2015). Exact solutions of nonlinear wave equations using (G0 /G, 1/G)-expansion method. EKB Journal Management System, 23(1), 78-84. doi: 10.1016/j.joems.2014.02.011
Sec¸il Demiray; , O¨mer U¨nsal; Ahmet Bekir. "Exact solutions of nonlinear wave equations using (G0 /G, 1/G)-expansion method". EKB Journal Management System, 23, 1, 2015, 78-84. doi: 10.1016/j.joems.2014.02.011
Demiray, S., U¨nsal, ,., Bekir, A. (2015). 'Exact solutions of nonlinear wave equations using (G0 /G, 1/G)-expansion method', EKB Journal Management System, 23(1), pp. 78-84. doi: 10.1016/j.joems.2014.02.011
Demiray, S., U¨nsal, ,., Bekir, A. Exact solutions of nonlinear wave equations using (G0 /G, 1/G)-expansion method. EKB Journal Management System, 2015; 23(1): 78-84. doi: 10.1016/j.joems.2014.02.011

Exact solutions of nonlinear wave equations using (G0 /G, 1/G)-expansion method

Journal of the Egyptian Mathematical Society
Volume 23, Issue 1, 2015, Page 78-84  XML PDF (496.4 K)
Document Type: Original Article
DOI: 10.1016/j.joems.2014.02.011
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Authors
Sec¸il Demiray; , O¨mer U¨nsal; Ahmet Bekir*
Eskisehir Osmangazi University, Art-Science Faculty, Department of Mathematics-Computer, Eskisehir, Turkey
Abstract
In this paper, the ðG0
=G; 1=GÞ-expansion method with the aid of Maple is used to obtain
new exact travelling wave solutions of the Hamiltonian amplitude equation and the Broer–Kaup
equations arise in the analysis of various problems in fluid mechanics, theoretical physics. The travelling wave solutions are expressed by the hyperbolic functions, the trigonometric functions and the
rational functions. The method demonstrates power, reliability and efficiency. The method also presents a wider applicability for handling nonlinear wave equations. 
Keywords
Exact solutions; ðG0 =G; 1=GÞ-expansion method; The Hamiltonian amplitude equation; The Broer–Kaup equations
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