On the Redefinition of the Variational and `Partial' Variational Conservation Laws in a Class of Nonlinear PDEs with Mixed Derivatives

Mathematical and Computational Applications

Narain, R.¹ 

关键词: Noether’s theorem;    mixed derivatives;    conservation laws;   

DOI  :  10.3390/mca15040732

学科分类：计算数学

来源: mdpi

【 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.

【 授权许可】

CC BY