Bright and dark soliton solutions of the (3+1)-dimensional generalized Kadomtsev-Petviashvili equation and generalized Benjamin equation

Bekir A., Guner O.

PRAMANA-JOURNAL OF PHYSICS, cilt.81, sa.2, ss.203-214, 2013 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 81 Sayı: 2
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1007/s12043-013-0568-6
  • Dergi Adı: PRAMANA-JOURNAL OF PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.203-214
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

In this paper, we obtain the 1-soliton solutions of the (3 + 1)-dimensional generalized Kadomtsev-Petviashvili (gKP) equation and the generalized Benjamin equation. By using two solitary wave ansatz in terms of sech (p) and functions, we obtain exact analytical bright and dark soliton solutions for the considered model. These solutions may be useful and desirable for explaining some nonlinear physical phenomena in genuinely nonlinear dynamical systems.