Rational and Multi-Wave Solutions To Nonlinear Evolution Equations by Means of the Exp-Function Method
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Date
2012
Authors
Aslan, İsmail
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Publisher
Politechnica University of Bucharest
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Abstract
In this paper, we present a new application of the Exp-function method to carry out the integration of nonlinear evolution equations in terms of multi-wave and rational solutions. To elucidate the solution procedure, we analytically investigate the Sharma-Tasso-Olver equation and the fifth-order Korteweg de Vries equation. Unlike Hirota's method, our procedure does not require the bilinear formalism of the equations studied.
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Keywords
Exp-function method, Fifth-order Korteweg de Vries equation, Rational solution, Sharma-Tasso-Olver equation
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Citation
Aslan, İ. (2012). Rational and multi-wave solutions to nonlinear evolution equations by means of the Exp-function method. UPB Scientific Bulletin, Series A: Applied Mathematics and Physics, 74(1), 25-34.
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Q3
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Q3
Source
UPB Scientific Bulletin, Series A: Applied Mathematics and Physics
Volume
74
Issue
1
Start Page
25
End Page
34