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Modeling Rogue Waves with the Kadomtsev-Petviashvili Equation Open Access

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Other title
Subject/Keyword
KP equation
Kadomtsev-Petviashvili Equation
N-soliton Wall Solution
Rogue Waves
Type of item
Thesis
Degree grantor
University of Alberta
Author or creator
Wanye, Randy Kanyiri
Supervisor and department
Bica, Ion (Mathematics and Statistics, Grant MacEwan University)
Yu, Xinwei (Mathematical and Statistical Sciences)
Examining committee member and department
Hillen, Thomas (Mathematical and Statistical Sciences)
Flynn, Morris (Mechanical Engineering)
Yu, Xinwei (Mathematical and Statistical Sciences)
Bica, Ion (Mathematics and Statistics, Grant MacEwan University)
Department
Department of Mathematical and Statistical Sciences
Specialization
Applied Mathematics
Date accepted
2012-01-09T09:15:55Z
Graduation date
2012-06
Degree
Master of Science
Degree level
Master's
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.
Language
English
Rights
Permission is hereby granted to the University of Alberta Libraries to reproduce single copies of this thesis and to lend or sell such copies for private, scholarly or scientific research purposes only. Where the thesis is converted to, or otherwise made available in digital form, the University of Alberta will advise potential users of the thesis of these terms. The author reserves all other publication and other rights in association with the copyright in the thesis and, except as herein before provided, neither the thesis nor any substantial portion thereof may be printed or otherwise reproduced in any material form whatsoever without the author's prior written permission.
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