Bright and Dark Soliton Solutions for the Variable Coefficient Generalizations of the KP Equation

Bekir A., Guner O., ÇEVİKEL A. C.

1st International Conference on Analysis and Applied Mathematics (ICAAM), Gümüşhane, Türkiye, 18 - 21 Ekim 2012, cilt.1470, ss.31-34 identifier identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 1470
  • Doi Numarası: 10.1063/1.4747631
  • Basıldığı Şehir: Gümüşhane
  • Basıldığı Ülke: Türkiye
  • Sayfa Sayıları: ss.31-34
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

In this paper, by using a solitary wave ansatz in the form of sech(p) and tanh(p) functions, we obtain the exact bright (non-topological) and dark (topological) soliton solutions for the variable coefficient generalizations of the KP (GVCKP) equation, respectively. Note that, it is always useful and desirable to construct exact analytical solutions especially soliton-type envelope for the understanding of most nonlinear physical phenomena. The physical parameters in the soliton solutions are obtained as functions of the dependent coefficients.