Discrete Symmetries Analysis and Exact Solutions of the Inviscid Burgers Equation-Reference-Cited by-同舟云学术

Discrete Symmetries Analysis and Exact Solutions of the Inviscid Burgers Equation

Published:2012 Issue: Volume:2012 Page:1-15
ISSN:1026-0226
Container-title:Discrete Dynamics in Nature and Society
language:en
Short-container-title:Discrete Dynamics in Nature and Society

Author:

Yang Hongwei¹²³⁴,Shi Yunlong²,Yin Baoshu¹⁴,Dong Huanhe²

Affiliation:

1. Institute of Oceanology, Chinese Academy of Sciences, Qingdao 266071, China

2. College of Information Science and Engineering, Shandong University of Science and Technology, Qingdao 266590, China

3. Graduate School, Chinese Academy of Sciences, Beijing 100049, China

4. Key Laboratory of Ocean Circulation and Wave, Chinese Academy of Sciences, Qingdao 266071, China

Abstract

We discuss the Lie point symmetries and discrete symmetries of the inviscid Burgers equation. By employing the Lie group method of infinitesimal transformations, symmetry reductions and similarity solutions of the governing equation are given. Based on discrete symmetries analysis, two groups of discrete symmetries are obtained, which lead to new exact solutions of the inviscid Burgers equation.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Modelling and Simulation

Link

http://downloads.hindawi.com/journals/ddns/2012/908975.pdf

Reference20 articles.

1. A Note on Exact Solutions to Linear Differential Equations by the Matrix Exponential

2. Lie group classification and invariant solutions of mKdV equation with time-dependent coefficients

3. Do symmetry constraints yield exact solutions?