A NOTE FOR FINDING EXACT SOLUTIONS OF SOME NONLINEAR DIFFERENTIAL EQUATIONS
Abstract
Keywords
References
- ⦁ Kudryashov, N. A. Logistic function as solution of many nonlinear differential equations, Applied Mathematical Modelling 39, 5733 – 5742,2015.
- ⦁ Kudryashov, N.A. Polynomials in logistic function and solitary waves of nonlinear differential equations, Appl. Math. Comput. 219, 9245–9253,2013.
- ⦁ Whitham, G. B. A general approach to linear and nonlinear waves using a Lagrangian, J. Fluid Mech., 22, 273-283, 1965.
- ⦁ Malfliet, W. Solitary wave solutions of nonlinear wave equations, Am. J. Phys. 60, 650–654, 1992.
- ⦁ Malfliet, W. Hereman, W. The tanh method: I. Exact solutions of nonlinear evolution and wave equations, Phys. Scripta 54, 563–568, 1996.
- ⦁ Parkes, E.J. Duffy, B.R. An automated tanh-function method for finding solitary wave solutions to nonlinear evolution equations, Comput. Phys. Commun. 98, 288–300, 1996.
- ⦁ Malfliet, W. Hereman, W. The tanh method: II. Perturbation technique for conservative systems, Phys. Scripta 54, 569–575, 1996.
- ⦁ Yan, Z. Y. An improved algebra method and its applications in nonlinear wave equations,Chaos Solitons & Fractals 21, 1013-1021, 2004.
Details
Primary Language
English
Subjects
-
Journal Section
Research Article
Authors
Zehra Pınar
This is me
0000-0002-9344-7308
Türkiye
Turgut Öziş
This is me
0000-0001-6718-1668
Türkiye
Publication Date
June 1, 2018
Submission Date
June 12, 2017
Acceptance Date
April 23, 2018
Published in Issue
Year 2018 Volume: 36 Number: 2