Title of article :
Three-Soliton Solutions of The Kadomtsev-Petviashvili Equation
Author/Authors :
King, Tiong Wei Universiti Teknologi Malaysia - Department of Mathematics, Malaysia , Tiong, Ong Chee Universiti Teknologi Malaysia - Department of Mathematics, Malaysia , lsa, Mukheta Universiti Teknologi Malaysia - Department of Mathematics, Malaysia
Abstract :
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-theooretical approach can generate analytic solition 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 strutures in soliton interactions. In three-solitolt 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
Keywords :
Soliton , Hirota Bilinear method , Korteweg , de Vries and IKadomtsev , Petviashvili equations
Journal title :
Matematika
Journal title :
Matematika
