Dynamics of soliton solutions in the chiral nonlinear Schrödinger equations

Bulut H., Sulaiman T. A., Demirdag B.

Nonlinear Dynamics, cilt.91, sa.3, ss.1985-1991, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 91 Sayı: 3
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1007/s11071-017-3997-9
  • Dergi Adı: Nonlinear Dynamics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1985-1991
  • Anahtar Kelimeler: Chiral NLSEs, SGEM, Soliton solutions, TRAVELING-WAVE SOLUTIONS, OPTICAL SOLITONS, LAW NONLINEARITY, POWER-LAW, TRANSFORMATIONS, PERTURBATION, INSTABILITY, FIBERS, SYSTEM, MODEL
  • Orta Doğu Teknik Üniversitesi Adresli: Hayır

Özet

© 2017, Springer Science+Business Media B.V., part of Springer Nature.In this study, the (1 + 1) - and (2 + 1) -dimensional Chiral nonlinear Schrödinger equations are investigated. These equations describe the edge states of the fractional quantum hall effect. We successfully acquired dark and bright soliton solutions to these equations by using the sine-Gordon expansion method. The constraint conditions for the existence of valid soliton are given. We present the numerical simulations to some of the obtained solutions under the choice of suitable parameters.