Open AccessExact solutions of nonlinear wave equations using (G′/G,1/G)-expansion method
Author(s) -
Seçil Demiray,
Ömer Ünsal,
Ahmet Bekir
Publication year - 2015
Publication title -
journal of the egyptian mathematical society
Language(s) - English
Resource type - Journals
eISSN - 2090-9128
pISSN - 1110-256X
DOI - 10.1016/j.joems.2014.02.011
Subject(s) - mathematics , traveling wave , maple , trigonometric functions , trigonometry , nonlinear system , hyperbolic function , mathematical analysis , hamiltonian (control theory) , power series , mathematical optimization , physics , geometry , botany , quantum mechanics , biology
In this paper, the (G′/G,1/G)-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