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Explicit and Exact Traveling Wave Solutions of Cahn Allen Equation Using MSE Method
Version 1
: Received: 4 January 2017 / Approved: 4 January 2017 / Online: 4 January 2017 (10:22:40 CET)
How to cite: Roshid, H.; Ali, M.Z.; Islam, M.R. Explicit and Exact Traveling Wave Solutions of Cahn Allen Equation Using MSE Method. Preprints 2017, 2017010018 (doi: 10.20944/preprints201701.0018.v1). Roshid, H.; Ali, M.Z.; Islam, M.R. Explicit and Exact Traveling Wave Solutions of Cahn Allen Equation Using MSE Method. Preprints 2017, 2017010018 (doi: 10.20944/preprints201701.0018.v1).
Abstract
By using Modified simple equation method, we study the Cahn Allen equation which arises in many scientific applications such as mathematical biology, quantum mechanics and plasma physics. As a result, the existence of solitary wave solutions of the Cahn Allen equation is obtained. Exact explicit solutions interms of hyperbolic solutions of the associated Cahn Allen equation are characterized with some free parameters. Finally, the variety of structure and graphical representation make the dynamics of the equations visible and provides the mathematical foundation in mathematical biology, quantum mechanics and plasma physics.
Subject Areas
the modified simple equation method; Cahn–Allen equation; soliton solution; kink type solutions
Copyright: 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.
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