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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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.
|Uncontrolled Keywords:||hirota bilinear method, kadomtsev-petviashvili equation, quadruplet, soliton, triad|
|Subjects:||Q Science > QA Mathematics|
|Deposited By:||Liza Porijo|
|Deposited On:||05 Jul 2011 01:12|
|Last Modified:||05 Jul 2011 01:12|
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