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

  • N-soliton Wall Solution
  • KP equation
  • Rogue Waves
  • Kadomtsev-Petviashvili Equation

• 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.