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

Author： Tuluce Demiray Seyma Bulut Hasan

Publisher： MDPI

E-ISSN： 1099-4300|17|9|6025-6043

ISSN： 1099-4300

Source： Entropy, Vol.17, Iss.9, 2015-08, pp. : 6025-6043

Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.

Previous Menu Next

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.