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<p>In this work, novel soliton features and dynamical behaviours in ferroelectric thin films are investigated. The governing equation is derived from the Landau–Ginzburg–Devonshire mean-field theory, providing a framework for analysing polarization behaviour under external influences. First, this equation is reduced to a two-dimensional dynamical system, and phase-plane and bifurcation analyses are performed to classify equilibrium points and their stability. The system’s response to periodic external forcing is then investigated, revealing rich nonlinear dynamics. Furthermore, traveling wave solutions are derived, including bright, kink, anti-kink, dark, and periodic solitons. These results provide analytical insight into nonlinear polarization structures relevant to ferroelectric thin films and related systems.</p>

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Soliton solutions and dynamical behaviors in ferroelectric thin films

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年7月4日

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  • Hajar F. Ismael,
  • Hezha H. Abdulkareem,
  • Shams Forruque Ahmed,
  • Mitiku Daba Firdi

摘要

In this work, novel soliton features and dynamical behaviours in ferroelectric thin films are investigated. The governing equation is derived from the Landau–Ginzburg–Devonshire mean-field theory, providing a framework for analysing polarization behaviour under external influences. First, this equation is reduced to a two-dimensional dynamical system, and phase-plane and bifurcation analyses are performed to classify equilibrium points and their stability. The system’s response to periodic external forcing is then investigated, revealing rich nonlinear dynamics. Furthermore, traveling wave solutions are derived, including bright, kink, anti-kink, dark, and periodic solitons. These results provide analytical insight into nonlinear polarization structures relevant to ferroelectric thin films and related systems.