Analyzing bifurcation, stability, and wave solutions in nonlinear telecommunications models using transmission lines, Hamiltonian and Jacobian techniques

This study presents a comprehensive analysis of a nonlinear telecommunications model, exploring bifurcation, stability, and wave solutions using Hamiltonian and Jacobian techniques. The investigation begins with a thorough examination of bifurcation behavior, identifying critical points and their st...

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Bibliographic Details
Published in:Scientific reports 2024-07, Vol.14 (1), p.15282-20, Article 15282
Main Authors: Refaie Ali, Ahmed, Roshid, Harun Or, Islam, Shariful, Khatun, Asma
Format: Article
Language:English
Subjects:
639/166/4073/4071
639/166/4073/4099
639/705/1041
639/705/1042
Communication
Electrical transmission lines
Humanities and Social Sciences
Investigations
Jacobi elliptic
Mathematical models
Mathematics
Methods
Modified expansion
multidisciplinary
Nonlinear systems
NPDEs
Optical properties
Partial differential equations
Propagation
Quantum field theory
Science
Science (multidisciplinary)
Telecommunications
Telecommunications industry
Thin films
Transmission lines
Travelling wave
Wave propagation
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Description
Summary:This study presents a comprehensive analysis of a nonlinear telecommunications model, exploring bifurcation, stability, and wave solutions using Hamiltonian and Jacobian techniques. The investigation begins with a thorough examination of bifurcation behavior, identifying critical points and their stability characteristics, leading to the discovery of diverse bifurcation scenarios. The stability of critical points is further assessed through graphical and numerical methods, highlighting the sensitivity to parameter variations. The study delves into the derivation of both numerical and analytical wave solutions, aligning them with energy orbits depicted in phase portraits, revealing a spectrum of wave behaviors. Additionally, the analysis extends to traveling wave solutions, providing insights into wave propagation dynamics. Notably, the study underscores the efficacy of the planar dynamical approach in capturing system behavior in harmony with phase portrait orbits. The findings have significant implications for telecommunications engineers and researchers, offering insights into system behavior, stability, and signal propagation, ultimately advancing our understanding of complex nonlinear dynamics in telecommunications networks.
ISSN:2045-2322
2045-2322
DOI:10.1038/s41598-024-64788-w