A new analytical method to the conformable chiral nonlinear Schrödinger equation in the quantum Hall effect
Yazarlar (3)
Gülnur Yel
Uluslararası Final Üniversitesi, Türkiye
Uluslararası Final Üniversitesi, Türkiye
Prof. Dr. Hasan Bulut Fırat Üniversitesi, Türkiye
Doç. Dr. Esin İLHAN Kırşehir Ahi Evran Üniversitesi, Türkiye
| Makale Türü |
Özgün Makale
(SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
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| Dergi Adı | Pramana Journal of Physics (Q2) | ||
| Dergi ISSN | 0304-4289 Dergi Bilgileri (2022) | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 10-2022 |
| Kabul Tarihi | 13-10-2021 | Yayınlanma Tarihi | 01-03-2022 |
| 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 | ||
| UAK Araştırma Alanları |
Uygulamalı Matematik
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| Özet |
| In this work, our goal is to find more general exact travelling wave solutions of the (11)- and (21)-dimensional nonlinear chiral Schrödinger 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 |
| 02.30 Jr | 05.45.Yv | 73.43.-f | chiral nonlinear Schrödinger equation | conformable derivative | quantum Hall effect | Rational sine-Gordon expansion method |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| Web of Science | 9 |
| Scopus | 12 |
| Google Scholar | 16 |