%0 Journal Article
%T Three-Soliton Solutions of The Kadomtsev-Petviashvili Equation
%A Tiong Wei King
%A Ong Chee Tiong
%A Mukheta Isa
%J Matematika
%D 2005
%I Universiti Teknologi Malaysia
%X Soliton solutions of the Kadomtsev-Petviashvili (KP) equation which is a two dimensional form of the Korteweg-de Vries (KdV) equation can be obtained by using Hirota Bilinear method. The traditional group-theoretical approach can generate analytic soliton solutions because the KP equation has infinitely many conservation laws. Two-soliton solutions of the KP equation produces a triad, quadruplet and a non-resonant soliton structures in soliton interactions. In three-soliton solutions of the KP equation, we observed two types of interactions patterns namely a triad with a soliton and also a quadruplet with a soliton.
%K Soliton
%K Hirota Bilinear method
%K Korteweg-de Vries
%K Kadomtsev-Petviashvili equations
%U http://www.fs.utm.my/matematika/images/stories/matematika/200521108.pdf