Classification and Recursion Operators of Dark Burgers' Equation

被引：8
作者：
Chen, Mei-Dan [1 ]
Li, Biao [1 ]
机构：
[1] Ningbo Univ, Ningbo Collaborat Innovat Ctr Nonlinear Harzard S, Dept Math, Ningbo 315211, Zhejiang, Peoples R China
来源：
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES | 2018年 / 73卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Burgers' Equation; Dark Equation; Recursion Operator; SYMMETRY;
D O I：
10.1515/zna-2017-0324
中图分类号：
O64 [物理化学（理论化学）、化学物理学];
学科分类号：
070304 ; 081704 ;
摘要：
With the help of symbolic computation, two types of complete scalar classification for dark Burgers' equations are derived by requiring the existence of higher order differential polynomial symmetries. There are some free parameters for every class of dark Burgers' systems; so some special equations including symmetry equation and dual symmetry equation are obtained by selecting the free parameter. Furthermore, two kinds of recursion operators for these dark Burgers' equations are constructed by two direct assumption methods.
引用
收藏
页码：175 / 180
页数：6
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