SYMMETRIES AND CONSERVATION LAWS OF A KDV6 EQUATION

被引：6
|
作者：
Santos Bruzon, Maria [1 ]
Maria Garrido, Tamara [1 ]
机构：
[1] Univ Cadiz, Dept Math, POB 40, Cadiz 11510, Spain
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2018年 / 11卷 / 04期
关键词：
KdV6; Lie group analysis; classical symmetries; nonclassical symmetries; conservation laws and classical potential symmetries; PARTIAL-DIFFERENTIAL EQUATIONS; DIRECT CONSTRUCTION METHOD;
D O I：
10.3934/dcdss.2018038
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the present work we make an analysis of the Korteweg-de Vries of sixth order. We apply the classical Lie method of infinitesimals and the nonclassical method, due to Bluman and Cole, to deduce new symmetries of the equation which cannot be obtained by Lie classical method. Moreover, we obtain ten different conservation laws depending on the parameters and we conclude that potential symmetries project on the infinitesimals corresponding to the classical symmetries.
引用
收藏
页码：631 / 641
页数：11
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