Open AccessSymmetries and symmetry reductions of the coupled Burgers equation
Author(s) -
Ling Huang
Publication year - 2006
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.55.3864
Subject(s) - homogeneous space , symmetry (geometry) , soliton , mathematical physics , physics , burgers' equation , point (geometry) , type (biology) , reduction (mathematics) , classical mechanics , partial differential equation , mathematics , nonlinear system , quantum mechanics , geometry , ecology , biology
Symmetry analysis is an important method used in almost all fields of natural science. In this paper, by means of the symmetry analysis, a new model, namely the coupled Burgers equations, which can be used to describe two-layer fluids is studied in detail. The Lie point symmetries of the model are obtained. By using the symmetries, four types of symmetry reductions are found. Some special types of exact solutions such as the rational solutions, travelling soliton solutions and non-travelling soliton solutions are explicitly given by solving the reduction equations.