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A new analytical method to the conformable chiral nonlinear Schrödinger equation in the quantum Hall effect    
Yazarlar
Gülnur Yel
Uluslararası Final Üniversitesi, Türkiye
Hasan Bulut
Fırat Üniversitesi, Türkiye
Doç. Dr. Esin İLHAN Doç. Dr. Esin İLHAN
Kırşehir Ahi Evran Üniversitesi, Türkiye
Özet
In this work, our goal is to find more general exact travelling wave solutions of the (1+1)- and (2+1)-dimensional nonlinear chiral Schrodinger equation with conformable derivative by using a newly developed analytical method. The governing model has a very important role in quantum mechanics, especially in the field of quantum Hall effect where chiral excitations are present. In two-dimensional electron systems, subjected to strong magnetic fields and low temperatures, the quantum Hall effect can be observed. By using the method, called the rational sine-Gordon expansion method which is a generalised form of the sine-Gordon expansion method, we found complex dark and bright solitary wave solutions. These solutions have important applications in the quantum Hall effect.
Anahtar Kelimeler
Rational sine-Gordon expansion method | conformable derivative | chiral nonlinear Schrodinger equation | quantum Hall effect
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı PRAMANA-JOURNAL OF PHYSICS
Dergi ISSN 0304-4289
Dergi Tarandığı Indeksler SCI-Expanded
Makale Dili İngilizce
Basım Tarihi 03-2022
Cilt No 96
Sayı 1
Sayfalar 1 / 11
Doi Numarası 10.1007/s12043-022-02292-4
Makale Linki https://doi.org/10.1007/s12043-022-02292-4