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Construction of Hamiltonina and optical solitons along with bifurcation analysis for the perturbed Chen–Lee–Liu equation

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Abstract

This paper seeks to introduce the wave structures and dynamics properties of the perturbed Chen–Lee–Liu equation (PCLLE). Using the traveling wave transformation, we derive the corresponding traveling wave system from the original equation and construct a conserved quantity named as Hamiltonian. Subsequently, we establish periodic solutions and the existence of soliton using the bifurcation method. The bifurcation method is a mathematical technique used to study how the qualitative behavior of a system changes as one or more parameters of the system are varied. It involves analyzing the system’s equilibrium points and studying how they behave as the parameters are changed. Finally, we construct the exact traveling wave solutions using the complete discriminant system (CDS) of polynomial method (CDSPM) to explicitly validate our findings.

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Acknowledgements

This work was supported and funded by the Deanship of Scientific Research at Imam Mohammad Ibn Saud Islamic University (IMSIU) (grant number IMSIU-RP23062).

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Authors and Affiliations

  1. Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University, Riyadh, Kingdom of Saudi Arabia

    A. H. Tedjani & Emad Solouma

  2. Mathematics Department, Faculty of Science, Taibah University, 41411, Al-Madinah Al-Munawarah, Kingdom of Saudi Arabia

    Aly R. Seadawy

  3. Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Islamabad, Pakistan

    Syed T. R. Rizvi

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  1. A. H. Tedjani
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  2. Aly R. Seadawy
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Correspondence to Aly R. Seadawy.

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Tedjani, A.H., Seadawy, A.R., Rizvi, S.T.R. et al. Construction of Hamiltonina and optical solitons along with bifurcation analysis for the perturbed Chen–Lee–Liu equation. Opt Quant Electron 55, 1151 (2023). https://doi.org/10.1007/s11082-023-05403-6

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