ON THE REDEFINITION OF THE VARIATIONAL AND 'PARTIAL' VARIATIONAL CONSERVATION LAWS IN A CLASS OF NONLINEAR PDEs WITH MIXED DERIVATIVES

被引：10
|
作者：
Narain, R. [1 ]
Kara, A. H. [1 ]
机构：
[1] Univ Witwatersrand, Sch Math, ZA-2050 Johannesburg, Johannesburg, South Africa
来源：
MATHEMATICAL AND COMPUTATIONAL APPLICATIONS | 2010年 / 15卷 / 04期
关键词：
Noether's theorem; mixed derivatives; conservation laws; SYMMETRIES;
D O I：
10.3390/mca15040732
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The construction of conserved vectors using Noether's and partial Noether's theorems are carried out for high order PDEs with mixed derivatives. The resultant conserved flows display some interesting 'divergence properties' owing to the existence of the mixed derivatives. These are spelled out for various equations from mathematical physics.
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页码：732 / 741
页数：10
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