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Published on: May 29, 2018
Soliton solutions and dynamical behaviors in ferroelectric thin films
Hajar F Ismael1, Hezha H Abdulkareem1, Shams Forruque Ahmed2,3
1Department of Mathematics, College of Science, University of Zakho, Zakho, 42001, Iraq.
None:
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.
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