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Regarding New Complex Analytical Solutions for the Nonlinear Partial Vakhnenko-Parkes Differential Equation via Bernoulli Sub-Equation Function Method
Mathematics Letters
Volume 1, Issue 1, June 2015, Pages: 1-9
Received: Jun. 6, 2015; Accepted: Jun. 18, 2015; Published: Jun. 19, 2015
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Authors
Haci Mehmet Baskonus, Department of Computer Engineering, Tunceli University, Tunceli, Turkey
Hasan Bulut, Department of Mathematics, University of Firat, Elazig, Turkey
Dilara Gizem Emir, Department of Mathematics, University of Firat, Elazig, Turkey
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Abstract
In this research, a structure of the Bernoulli sub-equation function method is proposed. The nonlinear partial Vakhnenko-Parkes differential equation which is another name the reduced Ostrovsky equation has been taken into consideration. Then, analytical solutions such as rational function solution, exponential function solution, hyperbolic function solution, complex trigonometric function solution and periodic wave solution have been obtained by the same method. All necessary calculations while obtaining the analytical solutions have been accomplished through using commercial wolfram software Mathematica 9.
Keywords
The Bernoulli Sub-Equation Function Method, Nonlinear Partial Vakhnenko-Parkes Differential Equation, The Reduced Ostrovsky Equation, Rational Function Solution, Exponential Function Solution, Hyperbolic Function Solution, Complex Trigonometric Function Solution
To cite this article
Haci Mehmet Baskonus, Hasan Bulut, Dilara Gizem Emir, Regarding New Complex Analytical Solutions for the Nonlinear Partial Vakhnenko-Parkes Differential Equation via Bernoulli Sub-Equation Function Method, Mathematics Letters. Vol. 1, No. 1, 2015, pp. 1-9. doi: 10.11648/j.ml.20150101.11
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