Dark soliton and periodic wave solutions of nonlinear evolution equations

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Guner O., Bekir A., ÇEVİKEL A. C.

ADVANCES IN DIFFERENCE EQUATIONS, 2013 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1186/1687-1847-2013-68
  • Dergi Adı: ADVANCES IN DIFFERENCE EQUATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: 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
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

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.