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A new analytical method to the conformable chiral nonlinear Schrödinger equation in the quantum Hall effect

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Abstract

In this work, our goal is to find more general exact travelling wave solutions of the (1\(+\)1)- and (2\(+\)1)-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.

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Authors and Affiliations

  1. Faculty of Education, Final International University, Mersin 10, Kyrenia, Turkey

    Gülnur Yel

  2. Department of Mathematics, Firat University, Elazig, Turkey

    Hasan Bulut

  3. Faculty of Engineering and Architecture, Kirşehir, Ahi Evran University, Kırşehir, Turkey

    Esin İlhan

Authors
  1. Gülnur Yel
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  2. Hasan Bulut
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  3. Esin İlhan
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Correspondence to Gülnur Yel.

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Yel, G., Bulut, H. & İlhan, E. A new analytical method to the conformable chiral nonlinear Schrödinger equation in the quantum Hall effect. Pramana - J Phys 96, 54 (2022). https://doi.org/10.1007/s12043-022-02292-4

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  • DOI: https://doi.org/10.1007/s12043-022-02292-4

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