Classification and Recursion Operators of Dark Burgers’ Equation-Reference-Cited by-同舟云学术

Classification and Recursion Operators of Dark Burgers’ Equation

Published:2018-01-20 Issue:2 Volume:73 Page:175-180
ISSN:1865-7109
Container-title:Zeitschrift für Naturforschung A
language:en
Short-container-title:

Author:

Chen Mei-Dan¹,Li Biao¹

Affiliation:

1. Department of Mathematics , Ningbo Collaborative Innovation Center of Nonlinear Harzard System of Ocean and Atmosphere , Ningbo University , Ningbo 315211 , P.R. China

Abstract

Abstract 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.

Publisher

Walter de Gruyter GmbH

Subject

Physical and Theoretical Chemistry,General Physics and Astronomy,Mathematical Physics

Link

https://www.degruyter.com/document/doi/10.1515/zna-2017-0324/pdf

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