Conservation Laws of Discrete Korteweg-de Vries Equation

被引：14
|
作者：
Rasin, Olexandr G. [1 ]
Hydon, Peter E. [1 ]
机构：
[1] Univ Surrey, Dept Math & Stat, Surrey GU2 7XH, England
来源：
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS | 2005年 / 1卷
关键词：
conservation laws; discrete equations; quad-graph;
D O I：
10.3842/SIGMA.2005.026
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
All three-point and five-point conservation laws for the discrete Korteweg-de Vries equations are found. These conservation laws satisfy a functional equation, which we solve by reducing it to a system of partial differential equations. Our method uses computer algebra intensively, because the determining functional equation is quite complicated.
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页数：6
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