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Modeling Rogue Waves with the Kadomtsev-Petviashvili Equation

  • Author / Creator
    Wanye, Randy Kanyiri
  • In this thesis, we will study singular solutions of the Kadomtsev-Petviashvili equation (u_t+6uu_x+u_xxx)_x+3α^2 u_yy=0, α^2=±1 that will help improve our understanding and if possible give indicators to the occurrence of rogue waves. We will only study the nonlinear interaction of two such solutions.

  • Subjects / Keywords
  • Graduation date
    2012-06
  • Type of Item
    Thesis
  • Degree
    Master of Science
  • DOI
    https://doi.org/10.7939/R3B27Q28R
  • License
    This thesis is made available by the University of Alberta Libraries with permission of the copyright owner solely for non-commercial purposes. This thesis, or any portion thereof, may not otherwise be copied or reproduced without the written consent of the copyright owner, except to the extent permitted by Canadian copyright law.
  • Language
    English
  • Institution
    University of Alberta
  • Degree level
    Master's
  • Department
    • Department of Mathematical and Statistical Sciences
  • Specialization
    • Applied Mathematics
  • Supervisor / co-supervisor and their department(s)
    • Bica, Ion (Mathematics and Statistics, Grant MacEwan University)
    • Yu, Xinwei (Mathematical and Statistical Sciences)
  • Examining committee members and their departments
    • Yu, Xinwei (Mathematical and Statistical Sciences)
    • Bica, Ion (Mathematics and Statistics, Grant MacEwan University)
    • Flynn, Morris (Mechanical Engineering)
    • Hillen, Thomas (Mathematical and Statistical Sciences)