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New auxiliary equation approach to derive solutions of fractional resonant Schrödinger equation

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Abstract

In this paper, conformable fractional resonant Schrödinger equation is studied. A new auxiliary equation approach is implemented to derive the solutions to the governing equation. Fractional complex traveling wave transform and homogeneous balance technique are the key procedures to implement the method. The predicted solution are set in finite series form of some functions satisfying an ODE of first order second degree. Many kinds of solutions covering exponential, hyperbolic and trigonometric functions are derived based on the suggested method.

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Authors and Affiliations

  1. Unité de Recherche D’Automatique Et D’Informatique Appliquée (UR-AIA), IUT-FV of Bandjoun, The University of Dschang, BP 134, Bandjoun, Cameroon

    Eric Tala-Tebue

  2. Nord Staße 9, Weimar, Germany

    Alper Korkmaz

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

    Hadi Rezazadeh

  4. Department of Mathematics, University of the Punjab, Lahore, Pakistan

    Nauman Raza

Authors
  1. Eric Tala-Tebue
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  2. Alper Korkmaz
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  3. Hadi Rezazadeh
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  4. Nauman Raza
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Corresponding author

Correspondence to Nauman Raza.

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The authors declare that there is no conflict of interest regarding the publication of this paper.

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Tala-Tebue, E., Korkmaz, A., Rezazadeh, H. et al. New auxiliary equation approach to derive solutions of fractional resonant Schrödinger equation. Anal.Math.Phys. 11, 167 (2021). https://doi.org/10.1007/s13324-021-00519-y

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  • DOI: https://doi.org/10.1007/s13324-021-00519-y

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