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Optical solitons of (3 + 1) dimensional and coupled nonlinear Schrodinger equations

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Abstract

In this paper, we implemented extended \(exp\left(-\varphi \left(\upxi \right)\right)\)-expansion method for some exact solutions of (3 + 1)-dimensional nonlinear Schrödinger equation (NLSE) and coupled nonlinear Schrodinger’s equation. The solutions we obtained are hyperbolic, trigonometric and exponential solutions. We observed that these solutions provided the equations through Mathematica 11.2. Apart from that, we have shown the graphics performance of some of the solutions found. This method has been used recently to obtain exact traveling wave solutions of nonlinear partial differential equations. The results achieved in this study have been confirmed with computational software Maple or Mathematica by placing them back into NLFPDEs and found them correct. We posited that the approach is updated to be more pragmatic, efficacious, and credible and that we pursue more generalized precise solutions for traveling waves, like the solitary wave solutions.

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Authors and Affiliations

  1. Faculty of Education, Firat University, 23119, Elazig, Turkey

    Ibrahim Enam Inan

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

    Mustafa Inc

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

    Mustafa Inc

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

    Mustafa Inc

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

    Hadi Rezazadeh

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

    Lanre Akinyemi

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  1. Ibrahim Enam Inan
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  2. Mustafa Inc
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Correspondence to Mustafa Inc.

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Inan, I.E., Inc, M., Rezazadeh, H. et al. Optical solitons of (3 + 1) dimensional and coupled nonlinear Schrodinger equations. Opt Quant Electron 54, 261 (2022). https://doi.org/10.1007/s11082-022-03599-7

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  • DOI: https://doi.org/10.1007/s11082-022-03599-7

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