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July 27, 2026International Journal of Theoretical PhysicsOpen Access

Bifurcation Analysis, Stability, and Unravelling Soliton Solutions of the Cubic-Quintic Nonlinear Model in Superconductivity for Steady Ion-Cyclotron Waves

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Authors

MRMd. Mamunur RoshidRHRamy M. HafezYYYakup Yildirim

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Overview

Randomized trial investigates dynamic behavior of ion-cyclotron waves, highlighting stability and soliton solutions.

Key Points

  • This work aims to explore the dynamic behaviors of the generalized nonlinear evolution equation related to superconductivity in ion-cyclotron waves.
  • Analytical and numerical methods for bifurcation analysis of the GNLEE.
  • Wave transformation to standard form to predict equilibrium and soliton structures.
  • Analysis of dynamic behavior through phase and Hamiltonian portraits for varying parameters.
  • Identified several soliton solutions including dark-type bell-wave and bright periodic solutions.
  • Demonstrated how parameter manipulation affects stability and wave formation.
  • Revealed nonlinear interactions influencing wave evolution and stability in various environments.

Cite This Study

Roshid et al. (2026) studied this question.

synapsesocial.com/papers/6a67007840bca442e0d4a276https://doi.org/10.1007/s10773-026-06395-1
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