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Entropy 2015, 17(9), 6025-6043; doi:10.3390/e17096025

New Exact Solutions of the New Hamiltonian Amplitude-Equation and Fokas Lenells Equation

Department of Mathematics, Firat University, Elazig 23119, Turkey
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Author to whom correspondence should be addressed.
Academic Editor: J. A. Tenreiro Machado
Received: 27 June 2015 / Revised: 22 August 2015 / Accepted: 25 August 2015 / Published: 27 August 2015
(This article belongs to the Section Complexity)
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Abstract

In this paper, exact solutions of the new Hamiltonian amplitude equation and Fokas-Lenells equation are successfully obtained. The extended trial equation method (ETEM) and generalized Kudryashov method (GKM) are applied to find several exact solutions of the new Hamiltonian amplitude equation and Fokas-Lenells equation. Primarily, we seek some exact solutions of the new Hamiltonian amplitude equation and Fokas-Lenells equation by using ETEM. Then, we research dark soliton solutions of the new Hamiltonian amplitude equation and Fokas-Lenells equation by using GKM. Lastly, according to the values of some parameters, we draw two and three dimensional graphics of imaginary and real values of certain solutions found by utilizing both methods. View Full-Text
Keywords: new Hamiltonian amplitude equation; Fokas-Lenells equation; extended trial equation method; generalized Kudryashov method; rational function solution; travelling wave solution; hyperbolic function solution; dark soliton solution new Hamiltonian amplitude equation; Fokas-Lenells equation; extended trial equation method; generalized Kudryashov method; rational function solution; travelling wave solution; hyperbolic function solution; dark soliton solution
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Demiray, S.T.; Bulut, H. New Exact Solutions of the New Hamiltonian Amplitude-Equation and Fokas Lenells Equation. Entropy 2015, 17, 6025-6043.

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