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

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 func...

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Bibliographic Details
Published in:Journal of mathematics (Hidawi) Vol. 2013; no. 2013; pp. 1 - 5
Main Authors: Pandir, Yusuf, Ulusoy, Halime
Format: Journal Article
Language:English
Published: Cairo, Egypt Hindawi Puplishing Corporation 01.01.2013
Hindawi Publishing Corporation
John Wiley & Sons, Inc
Wiley
Subjects:
Approximation
Exact solutions
Functions (mathematics)
Hyperbolic functions
Mathematical analysis
Mathematics
Nonlinear differential equations
Partial differential equations
Transformations (mathematics)
ISSN:2314-4629, 2314-4785
Online Access:Get full text
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Summary: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.
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ISSN:2314-4629
2314-4785
DOI:10.1155/2013/201276