Rouge Wave, W-Shaped, Bright, and Dark Soliton Solutions for a Generalized Quasi-1D Bose–Einstein Condensate System with Local M-Derivative

Kader A. H. A., Latif M. S. A., Baleanu D.

Brazilian Journal of Physics, cilt.52, sa.1, 2022 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 52 Sayı: 1
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1007/s13538-021-01015-1
  • Dergi Adı: Brazilian Journal of Physics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, INSPEC
  • Anahtar Kelimeler: Local M-derivative, Bose-Einstein condensate system, Similarity transformation method, Rogue waves, Solitons
  • Ankara Üniversitesi Adresli: Evet

Özet

© 2021, The Author(s) under exclusive licence to Sociedade Brasileira de Física.In this paper, a generalized quasi-1D Bose–Einstein condensate system with contact repulsion and dipole–dipole attraction (QBECS) and with the local M-derivative of order α is introduced. Using similarity transformation, the generalized QBECS is transformed into the same system but with constant coefficients under certain conditions. Finally, the travelling wave transformation is used for getting rogue waves and soliton solutions for the original equation. The effect of the fractional order α on the wave profile is discussed using some figures.