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Optical solitons, conservation laws and modulation instability analysis for the modified nonlinear Schrödinger’s equation for Davydov solitons

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  • Mustafa Inc
  • Aliyu Isa Aliyu
  • Abdullahi Yusuf
  • Dumitru Baleanu

Abstract

In this paper, the optical solitons to the modified nonlinear Schrödinger’s equation for davydov solitons are investigate. The modified F-expansion method is the integration technique employed to achieve this task. This yielded a combined and other soliton solutions. The Lie point symmetry generators of a system of partial differential equations acquired by decomposing the equation into real and imaginary components are derived. We prove that the system is nonlinearly self-adjoint with an explicit form of a differential substitution satisfying the nonlinear self-adjoint condition. Then we use these facts to construct a set of local conservation laws (Cls) for the system using the general Cls theorem presented by Ibragimov. Furthermore, the modulation instability (MI) is analyzed based on the standard linear-stability analysis and the MI gain spectrum is got. Numerical simulation of the obtained results are analyzed with interesting figures showing the physical meaning of the solutions.

Suggested Citation

  • Mustafa Inc & Aliyu Isa Aliyu & Abdullahi Yusuf & Dumitru Baleanu, 2018. "Optical solitons, conservation laws and modulation instability analysis for the modified nonlinear Schrödinger’s equation for Davydov solitons," Journal of Electromagnetic Waves and Applications, Taylor & Francis Journals, vol. 32(7), pages 858-873, May.
    • Handle: RePEc:taf:tewaxx:v:32:y:2018:i:7:p:858-873
    DOI: 10.1080/09205071.2017.1408499
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    Cited by:

    1. Rizvi, Syed T.R. & Seadawy, Aly R. & Batool, Tahira & Ashraf, M. Aamir, 2022. "Homoclinic breaters, mulitwave, periodic cross-kink and periodic cross-rational solutions for improved perturbed nonlinear Schrödinger's with quadratic-cubic nonlinearity," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).

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