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Excitation and propagation of the high-order self-similar rogue waves in aircraft wing plates with nonlinear aeroelastic restraints

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Listed:
  • Zhang, Yi Fei
  • Zhang, Wei
  • Zhang, Yu Fei

Abstract

This paper investigates the propagation mechanisms of the higher-order self-similar two-dimensional rogue waves in the aircraft wings modeled as the thin plates resting on the nonlinear elastic foundations. The nonlinear governing dynamic equation of motion is reduced to a (2 + 1)-dimensional nonlinear Schrödinger (NLS) equation by the reductive perturbation. The analysis of the dispersion relation indicates that the presence of the initial pre-stress fundamentally alters the dispersion characteristics of the system, providing the conditions for wave localization. The expressions of the analytical solutions for the higher-order rogue waves are constructed based on a self-similar transformation. Furthermore, the nonlinear evolution characteristics of the rogue waves are revealed through numerical simulations, while the parameter analysis further demonstrates that the wave amplitude is sensitive to variations in the initial compressive stress, foundation nonlinear coefficient, and plate thickness. The results provide the theoretical support for the damage prevention and wave control in the aircraft wings under the extreme wave loads.

Suggested Citation

  • Zhang, Yi Fei & Zhang, Wei & Zhang, Yu Fei, 2026. "Excitation and propagation of the high-order self-similar rogue waves in aircraft wing plates with nonlinear aeroelastic restraints," Chaos, Solitons & Fractals, Elsevier, vol. 207(C).
    • Handle: RePEc:eee:chsofr:v:207:y:2026:i:c:s0960077926001268
    DOI: 10.1016/j.chaos.2026.117985
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