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Optical and Quantum Electronics

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01-12-2023

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

Authors: A. H. Tedjani, Aly R. Seadawy, Syed T. R. Rizvi, Emad Solouma

Published in: Optical and Quantum Electronics | Issue 13/2023

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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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Title: Construction of Hamiltonina and optical solitons along with bifurcation analysis for the perturbed Chen–Lee–Liu equation
Authors: A. H. Tedjani
Aly R. Seadawy
Syed T. R. Rizvi
Emad Solouma
Publication date: 01-12-2023
Publisher: Springer US
Published in: Optical and Quantum Electronics / Issue 13/2023
Print ISSN: 0306-8919
Electronic ISSN: 1572-817X
DOI: https://doi.org/10.1007/s11082-023-05403-6

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