Three-Soliton Solutions of The Kadomtsev-Petviashvili Equation

被引：0
|
作者：
King, Tiong Wei [1 ]
Tiong, Ong Chee [1 ]
Lsa, Mukheta [1 ]
机构：
[1] Univ Teknol Malaysia, Dept Math, Skudai 81310, Johor Bahru, Malaysia
来源：
MATEMATIKA | 2005年 / 21卷 / 01期
关键词：
Soliton; Hirota Bilinear method; Korteweg-de Vries and Kadomtsev-Petviashvili equations;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
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页码：1 / 13
页数：13
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