Numerical solution of the Korteweg-de Vries (KdV) equation

被引：10
|
作者：
Jain, PC [1 ]
Shankar, R [1 ]
Bhardwaj, D [1 ]
机构：
[1] INDIAN INST TECHNOL, DEPT MATH, NEW DELHI 110016, INDIA
来源：
CHAOS SOLITONS & FRACTALS | 1997年 / 8卷 / 06期
关键词：
D O I：
10.1016/S0960-0779(96)00135-X
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A numerical method is developed for solving the Korteweg-de Vries (KdV) equation u(1)-6uu(x)+u(xxx)=0 by using splitting method and quintic spline approximation technique. The convergence, stability and accuracy of the proposed method are discussed. Further, the method is extended to solve the perturbed KdV equation, perturbed by energy influxes of cubic polynomial type, Burger's type and periodic forcing type, and the effects of these influxes on soliton solution are obtained. (C) 1997 Elsevier Science Ltd.
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页码：943 / 951
页数：9
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