A new analytical method to the conformable chiral nonlinear Schrödinger equation in the quantum Hall effect
Yazarlar (3)
Final International University, Kıbrıs Rum Kesimi
Firat Üniversitesi, Türkiye
Doç. Dr. Esin İLHAN
Kırşehir Ahi Evran Üniversitesi, Türkiye
| Makale Türü | Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Pramana Journal of Physics | ||
| Dergi ISSN | 0304-4289 Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 03-2022 |
| Cilt / Sayı / Sayfa | 96 / 1 / 1–11 | DOI | 10.1007/s12043-022-02292-4 |
| Makale Linki | https://doi.org/10.1007/s12043-022-02292-4 | ||
| 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 |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| WoS | 8 |
| SCOPUS | 11 |
| Google Scholar | 15 |