On conservation properties of semidiscrete canonical Hamiltonian equations

被引：0
|
作者：
Kozlov, R [1 ]
机构：
[1] Univ Oslo, Dept Informat, N-0371 Oslo, Norway
来源：
GROUP THEORY AND NUMERICAL ANALYSIS | 2005年 / 39卷
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D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
There are many evolution partial differential equations which can be cast into Hamiltonian form. Conservation laws of these equations are related to one-parameter Hamiltonian symmetries admitted by the PDEs [11]. The same result holds for semidiscrete Hamiltonian equations [7]. In this paper we briefly review semidiscrete canonical Hamiltonian equations, considered in [8] in greater details. Using symmetries, we find conservation laws for the semidiscretized nonlinear wave equation.
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页码：165 / 177
页数：13
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