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Math. Comput. Appl. 2018, 23(3), 35; https://doi.org/10.3390/mca23030035

Exact Solutions of Non-Linear Evolution Models in Physics and Biosciences Using the Hyperbolic Tangent Method

1
Department of Mathematics, University of Swaziland, Private Bag 4, Kwaluseni, Swaziland
2
Department of Mathematics and Statistics, Nothern Arizona University, San Francisco St, Flagstaff, AZ 86011, USA
*
Author to whom correspondence should be addressed.
Received: 21 May 2018 / Revised: 26 June 2018 / Accepted: 4 July 2018 / Published: 6 July 2018
(This article belongs to the Section Natural Sciences)
Full-Text   |   PDF [269 KB, uploaded 6 July 2018]

Abstract

There has been considerable interest in seeking exact solutions of non-linear evolution equations that describe important physical and biological processes. Nonetheless, it is a difficult undertaking to determine closed form solutions of mathematical models that describe natural phenomena. This is because of their high non-linearity and the huge number of parameters of which they consist. In this article we determine, using the hyperbolic tangent (tanh) method, travelling wave solutions to non-linear evolution models of interest in biology and physics. These solutions have recognizable properties expected of other solutions and thus can be used to deduce properties of the general solutions. View Full-Text
Keywords: hyperbolic tangent method; non-linear evolution models; travelling wave solutions hyperbolic tangent method; non-linear evolution models; travelling wave solutions
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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Malinzi, J.; Quaye, P.A. Exact Solutions of Non-Linear Evolution Models in Physics and Biosciences Using the Hyperbolic Tangent Method. Math. Comput. Appl. 2018, 23, 35.

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