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Modeling Rogue Waves with the Kadomtsev-Petviashvili Equation

Thesis

English

<10402/era.24986>

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.

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