Nonclassical symmetries and the singular manifold method: The Burgers equation

1994 ◽  
Vol 99 (2) ◽  
pp. 562-566 ◽  
Author(s):  
P. G. Estevez ◽  
P. R. Gordoa
Keyword(s):  
Burgers Equation ◽  
Singular Manifold ◽  
Nonclassical Symmetries ◽  
Singular Manifold Method

scholarly journals Exact Solutions and Localized Structures for Higher-Dimensional Burgers Systems

2009 ◽  
Vol 2009 ◽  
pp. 1-10 ◽  
Author(s):  
Yan-ze Peng
Keyword(s):  
Exact Solutions ◽  
Burgers Equation ◽  
Bäcklund Transformations ◽  
Singular Manifold ◽  
Localized Structures ◽  
Higher Dimensional ◽  
Backlund Transformations ◽  
First Time ◽  
Singular Manifold Method ◽  
Burgers System

A(2+1)dimensional Burgers equation and a coupled higher dimensional Burgers system is studied by the singular manifold method. The Bäcklund transformations are obtained. Some interesting exact solutions are given. Then localized structures, such as dromion and solitoff, are found, and their interaction properties are numerically studied. The fusion phenomena of two dromions, a dromion and a solitoff, are for the first time reported.

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