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Optical solutions of cold bosonic atoms in a zig-zag optical lattice

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Abstract

In this paper, using the continuum approximation and from a discrete equation governing a system of cold bosonic atoms in zig-zag optical lattices derived an equation in a continuum domain. With two different methods, namely the \(exp_a\) function method and the Hyperbolic function method, found many solutions of the equation considered. These solutions are Hyperbolic solutions and trigonometric solutions. Discrete representations have been done to observe their behaviors. These results will help to understand the dynamics of cold bosonic atoms in zig-zag optical lattices and several other systems. More importantly, in this article derived the Lagrangian and the stability condition of the model studied. The methods employed here are very simple and concise.

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Authors and Affiliations

  1. Laboratoire d’Automatique et d’Informatique Appliquée (LAIA), IUT-FV of Bandjoun, The University of Dschang, BP 134, Bandjoun, Cameroon

    Eric Tala-Tebue & Zacharie Isidore Djoufack

  2. Faculty of Engineering Technology, Amol University of Special Modern Technologies, Amol, Iran

    Hadi Rezazadeh

  3. Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran

    Mostafa Eslam

  4. Nonlinear Physics and Complex Systems Group, Department of Physics, The Higher Teachers’ Training College, The University of Yaoundé I, P.O. Box 47, Yaoundé, Cameroon

    Aurélien Kenfack-Jiotsa

  5. Neighbourhood of Akcaglan, Imarli Street, Number: 28/4, 26030, Eskisehir, Turkey

    Ahmet Bekir

Authors
  1. Eric Tala-Tebue
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  2. Hadi Rezazadeh
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  3. Zacharie Isidore Djoufack
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  4. Mostafa Eslam
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  5. Aurélien Kenfack-Jiotsa
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  6. Ahmet Bekir
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Correspondence to Hadi Rezazadeh.

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Tala-Tebue, E., Rezazadeh, H., Djoufack, Z.I. et al. Optical solutions of cold bosonic atoms in a zig-zag optical lattice. Opt Quant Electron 53, 44 (2021). https://doi.org/10.1007/s11082-020-02722-w

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  • DOI: https://doi.org/10.1007/s11082-020-02722-w

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