AN ANALYSIS OF THE SYMMETRIES AND CONSERVATION LAWS OF THE CLASS OF ZAKHAROV-KUZNETSOV EQUATIONS

被引：9

作者：

Kara, A. H. ^{[1
,2
]}

机构：

[1] Univ Witwatersrand, Sch Math, ZA-2050 Johannesburg, South Africa

[2] Univ Witwatersrand, Ctr Differential Equat Continuum Mech & Applicat, ZA-2050 Johannesburg, South Africa

来源：

MATHEMATICAL AND COMPUTATIONAL APPLICATIONS | 2010年 / 15卷 / 04期

关键词：

Conservation laws; symmetry generators;

D O I：

10.3390/mca15040658

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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.

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收藏

页码：658 / 664

页数：7

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