Regarding New Complex Analytical Solutions for the Nonlinear Partial Vakhnenko-Parkes Differential Equation via Bernoulli Sub-Equation Function Method
Haci Mehmet Baskonus,
Hasan Bulut,
Dilara Gizem Emir
Issue:
Volume 1, Issue 1, June 2015
Pages:
1-9
Received:
6 June 2015
Accepted:
18 June 2015
Published:
19 June 2015
DOI:
10.11648/j.ml.20150101.11
Downloads:
Views:
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.
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 functio...
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