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Entropy 2015, 17(12), 8267-8277; doi:10.3390/e17127878

On the Complex and Hyperbolic Structures for the (2 + 1)-Dimensional Boussinesq Water Equation

1
Department of Office Management and Manager Assistant, Bolvadin Vocational School, AfyonKocatepe University, Afyonkarahisar 03300, Turkey
2
Department of Computer Engineering, Faculty of Engineering, Tunceli University, Tunceli 62100, Turkey
3
Department of Mathematics, Faculty of Science, Firat University, Elazig 23119, Turkey
*
Author to whom correspondence should be addressed.
Academic Editor: Carlo Cattani
Received: 2 November 2015 / Revised: 8 December 2015 / Accepted: 10 December 2015 / Published: 17 December 2015
(This article belongs to the Special Issue Wavelets, Fractals and Information Theory)
View Full-Text   |   Download PDF [7408 KB, uploaded 17 December 2015]   |  

Abstract

In this study, we have applied the modified exp(−Ω(ξ))-expansion function method to the (2 + 1)-dimensional Boussinesq water equation. We have obtained some new analytical solutions such as exponential function, complex function and hyperbolic function solutions. It has been observed that all analytical solutions have been verified to the (2 + 1)-dimensional Boussinesq water equation by using Wolfram Mathematica 9. We have constructed the two- and three-dimensional surfaces for all analytical solutions obtained in this paper using the same computer program. View Full-Text
Keywords: the modified exp (−Ω(ξ)) -expansion function method; the (2 + 1)-dimensional Boussinesq water equation; complex hyperbolic function solution; exponential function solution the modified exp (−Ω(ξ)) -expansion function method; the (2 + 1)-dimensional Boussinesq water equation; complex hyperbolic function solution; exponential function solution
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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MDPI and ACS Style

Özpinar, F.; Baskonus, H.M.; Bulut, H. On the Complex and Hyperbolic Structures for the (2 + 1)-Dimensional Boussinesq Water Equation. Entropy 2015, 17, 8267-8277.

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