Stability and spin solitonic dynamics of the HFSC model: effects of neighboring interactions and crystal field anisotropy parameters

Islam, Zahidul; Sheikh, Md. Abu Naim; Roshid, Harun-Or; Hossain, M. A.; Taher, M. A.; Abdeljabbar, Alrazi

doi:10.1007/s11082-023-05739-z

Cited by 8 publications

(1 citation statement)

References 45 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Ullah, Roshid, and Ali (2024) explored new wave behaviors and conducted a comprehensive stability analysis of the (2 + 1)-dimensional Zoomeron model 23 . Roshid, et al (2024), have delved into the stability and spin solitonic dynamics of the HFSC model, focusing on the effects of neighboring interactions and crystal field anisotropy parameters 24 . These studies 23 , 24 collectively enhance our understanding of nonlinear dynamics and their applications in telecommunications.…”

Section: Introductionmentioning

confidence: 99%

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

Refaie Ali,

Roshid,

Islam

et al. 2024

Sci Rep

View full text Add to dashboard Cite

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.

show abstract

Section: Introductionmentioning

confidence: 99%

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

Refaie Ali,

Roshid,

Islam

et al. 2024

Sci Rep

View full text Add to dashboard Cite

show abstract

New optical soliton solutions to the Biswas–Milovic equations with power law and parabolic law nonlinearity using the Sardar-subequation method

Hossain,

El-Rashidy,

Alsharif

et al. 2024

Opt Quant Electron

View full text Add to dashboard Cite

Exact solutions of the $$(2+1)$$-dimensional Zoomeron model arising in nonlinear optics via mapping method

Akgül,

Manzoor,

Ashraf

et al. 2024

Opt Quant Electron

View full text Add to dashboard Cite

The Zoomeron model covers particular kinds of solitons with distinctive properties that appear in several physical scenarios, such as, fluid dynamics, nonlinear optics and laser physics. First time utilising the mapping method, we determine the analytical solution to the described model, including several novel dynamical behaviours. Through symbolic computation, we are able to derive the breather waves, kink waves, dark soliton, singular soliton, periodic soliton and bright soliton of this model. Additionally, we encounter single kink waves and single breather waves. We find novel hyperbolic trigonometric, rational and elliptic functions. Modelling our observations with MATLAB tools and producing many 3D graphs. The results obtained will be crucial for further research on complicated nonlinear models.

show abstract

Stability and spin solitonic dynamics of the HFSC model: effects of neighboring interactions and crystal field anisotropy parameters

Cited by 8 publications

References 45 publications

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

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

New optical soliton solutions to the Biswas–Milovic equations with power law and parabolic law nonlinearity using the Sardar-subequation method

Exact solutions of the $$(2+1)$$-dimensional Zoomeron model arising in nonlinear optics via mapping method

Contact Info

Product

Resources

About