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Dynamical behaviour of Chiral nonlinear Schrödinger equation

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Abstract

In this work, we study the exact traveling wave solutions of \((2+1)\)-dimensional Chiral nonlinear Schrödinger equation with the aid of generalized auxiliary equation method. The aforementioned model is used as a governing equation to discuss the wave in quantum field theory. The suggested technique is direct, effective, powerful, and offers constraint conditions to ensure the existence of solutions. The solutions obtained are bright solitons, dark solitons, singular solitons, mixed solitons, periodic waves, exponential, rational, and complex solutions that are relevant in various applications of applied science. Finally, some solutions are depicted in two and three dimensional to better understand the behavior of the considered model.

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Authors and Affiliations

  1. Department of Mathematics, Lafayette College, Easton, PA, USA

    Lanre Akinyemi

  2. Department of Computer Engineering, Biruni University, Istanbul, Turkey

    Mustafa Inc

  3. Department of Mathematics, Science Faculty, Firat University, 23119, Elazig, Turkey

    Mustafa Inc

  4. Department of Medical Research, China Medical University, 40402, Taichung, Taiwan

    Mustafa Inc

  5. Department of Mathematics, Faculty of Science, Jiangsu University, 212013, Zhenjiang, China

    Mostafa M. A. Khater

  6. Department of Mathematics, Obour High Institute For Engineering and Technology, Cairo, 11828, Egypt

    Mostafa M. A. Khater

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

    Hadi Rezazadeh

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  1. Lanre Akinyemi
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  2. Mustafa Inc
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  3. Mostafa M. A. Khater
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  4. Hadi Rezazadeh
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Akinyemi, L., Inc, M., Khater, M.M.A. et al. Dynamical behaviour of Chiral nonlinear Schrödinger equation. Opt Quant Electron 54, 191 (2022). https://doi.org/10.1007/s11082-022-03554-6

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