New Exact Solutions of the Space-Time Fractional Potential Kadomtsev-Petviashvili (pKP) Equation

PANDIR Y., Yildirim A.

International Conference on Numerical Analysis and Applied Mathematics (ICNAAM), Rhodes, Yunanistan, 22 - 28 Eylül 2014, cilt.1648 identifier identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 1648
  • Doi Numarası: 10.1063/1.4912605
  • Basıldığı Şehir: Rhodes
  • Basıldığı Ülke: Yunanistan
  • Yozgat Bozok Üniversitesi Adresli: Evet

Özet

In this paper, the extended tanh method is used to seek exact solutions for the space-time fractional potential Kadomtsev-Petviashvili (pKP) equation with the modified Riemann Liouville derivative. The proposed method is applied to derive a variety of travelling wave solutions with distinct physical structures for these nonlinear fractional equations. As a result, various complexions solutions consisting of hyperbolic function, kink shaped soliton and new exact travelingwave solutionsare obtained.