GoTriple - Modeling Rogue Waves with the Kadomtsev-Petviashvili Equation

author

Wanye, Randy Kanyiri

Contributors

Yu, Xinwei (Mathematical and Statistical Sciences),

Bica, Ion (Mathematics and Statistics, Grant MacEwan University),

Hillen, Thomas (Mathematical and Statistical Sciences),

Flynn, Morris (Mechanical Engineering)

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Publisher

University of Alberta. Department of Mathematical and Statistical Sciences.

Abstract

Specialization: Applied Mathematics Degree: Master of Science Abstract: 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.