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[02604] Particle dynamics in the KP approximation

  • Session Time & Room : 5D (Aug.25, 15:30-17:10) @E702
  • Type : Contributed Talk
  • Abstract : The Kadomtsev-Petviashvili (KP) equation is a model equation describing weakly nonlinear dispersive and small amplitude waves propagating in a quasi-two-dimensional situation. Encoded in the KP model are relations that may be used to reconstruct the velocity fields in the fluid below a given surface wave. In this talk, velocity fields associated to exact solutions of the KP equation are found, and particle trajectories are computed numerically. The solutions treated here comprise the one line-soliton solution and two-soliton solutions.
  • Classification : 65M25, 37M05
  • Format : Talk at Waseda University
  • Author(s) :
    • Juan-Ming Yuan (Providence University)
    • Jen-Hsu Chang (National Yang Ming Chiao Tung University )
    • Henrik Kalisch (University of Bergen)
    • Yusuke Shimabukuro (Math. Inst.)