An Analysis of the Symmetries and Conservation Laws of the Class of Zakharov-Kuznetsov Equations

Mathematical and Computational Applications

Kara, A. H.¹ 

关键词: Conservation laws;    symmetry generators;   

DOI  :  10.3390/mca15040658

学科分类：计算数学

来源: mdpi

【 摘 要 】

In this paper, we study and classify the conservation laws of the Zakharov- Kuznetsov equations. It is shown that these can be obtained by studying the interplay between symmetry generators and ‘multipliers’. This is, particularly, useful for the higher-order multipliers. As a final note, we include Drinfeld-Sokolov-Wilson system to demonstrate the usefulness of the approach to systems of pdes.

【 授权许可】

CC BY