Copy For Citation
Guner O., Bekir A., ÇEVİKEL A. C.
ADVANCES IN DIFFERENCE EQUATIONS, 2013 (SCI-Expanded)
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Publication Type:
Article / Article
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Publication Date:
2013
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Doi Number:
10.1186/1687-1847-2013-68
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Journal Name:
ADVANCES IN DIFFERENCE EQUATIONS
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Journal Indexes:
Science Citation Index Expanded (SCI-EXPANDED), Scopus
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Keywords:
dark soliton, sine-cosine method, ansatz method, Kudryashov-Sinelshchikov equation, Jimbo-Miwa equation, SINE-COSINE METHOD, IMPROVED F-EXPANSION, TANH METHOD, (G'/G)-EXPANSION METHOD, N) EQUATION, KDV, BRIGHT
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Yıldız Technical University Affiliated:
Yes
Abstract
This paper studies the Kudryashov-Sinelshchikov and Jimbo-Miwa equations. Subsequently, we formally derive the dark (topological) soliton solutions for these equations. By using the sine-cosine method, some additional periodic solutions are derived. The physical parameters in the soliton solutions of the ansatz method, amplitude, inverse width and velocity, are obtained as functions of the dependent model coefficients.