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Solitons interactions of a triad and a quadruplet of the Kadomtsev-Petviashvili equation

Tiong, Wei King and Ong, C. T. and Isa, Mukheta (2008) Solitons interactions of a triad and a quadruplet of the Kadomtsev-Petviashvili equation. Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms, 15 (2). 293 -302. ISSN 1492-8760

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Abstract

The two-dimensional form of the Korteweg-de Vries equation is given by the Kadomtsev-Petviashvili (KP) equation. The KP equation can be solved by Hirota bilinear method. The traditional group-theoretical approach can generates analytic solutions of soliton because the KP equation has infinitely many conservation laws. Two-soliton solutions of the KP equation yield a triad, quadruplet and a non-resonant soliton structures in soliton interactions. From these basic resonant structures, higher number of soliton interaction could be observed. This paper concentrates on one type of the four-soliton solutions of the KP equation that is the interaction of a triad and a quadruplet. The solution of the interaction and interaction patterns are shown in this paper.

Item Type:Article
Uncontrolled Keywords:hirota bilinear method, kadomtsev-petviashvili equation, quadruplet, soliton, triad
Subjects:Q Science > QA Mathematics
Divisions:Science
ID Code:12867
Deposited By: Mrs Liza Porijo
Deposited On:05 Jul 2011 01:12
Last Modified:05 Jul 2011 01:12

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