Wave equation

  1. Hydrodynamic form of non-relativistic quantum mechanics is extended
    Reformulation of non-relativistic quantum mechanics using hydrodynamic equations, extended to particles confined to surface waves with specific boundary conditions.
  2. Multimodal nonlinear acoustics in two- and three-dimensional curved ducts
    A weakly nonlinear model of duct acoustics in two and three dimensions accommodates curvature, torsion, and width variation, enabling analysis of wave steepening in curved ducts.