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Journal of Mathematics
Volume 2013, Article ID 201276, 5 pages
Research Article

New Generalized Hyperbolic Functions to Find New Exact Solutions of the Nonlinear Partial Differential Equations

Department of Mathematics, Faculty of Science, Bozok University, 66100 Yozgat, Turkey

Received 2 October 2012; Accepted 30 October 2012

Academic Editor: Anjan Biswas

Copyright © 2013 Yusuf Pandir and Halime Ulusoy. 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.


We firstly give some new functions called generalized hyperbolic functions. By the using of the generalized hyperbolic functions, new kinds of transformations are defined to discover the exact approximate solutions of nonlinear partial differential equations. Based on the generalized hyperbolic function transformation of the generalized KdV equation and the coupled equal width wave equations (CEWE), we find new exact solutions of two equations and analyze the properties of them by taking different parameter values of the generalized hyperbolic functions. We think that these solutions are very important to explain some physical phenomena.