A second-order accurate difference scheme for the two-dimensional Burgers' system

2009 ◽  
Vol 25 (1) ◽  
pp. 172-194 ◽  
Author(s):  
Pei-Pei Xu ◽  
Zhi-Zhong Sun
Keyword(s):  
Difference Scheme ◽  
Second Order ◽  
Two Dimensional ◽  
Burgers System

Integrable two-dimensional dynamical systems and the characteristic Lie algebras

2007 ◽  
Vol 5 ◽  
pp. 195-200
Author(s):  
A.V. Zhiber ◽  
O.S. Kostrigina
Keyword(s):  
Dynamical System ◽  
Dynamical Systems ◽  
Lie Algebra ◽  
Lie Algebras ◽  
Second Order ◽  
System Of Equations ◽  
Two Dimensional ◽  
Finite Dimensional ◽  
Dimensional Dynamical System

In the paper it is shown that the two-dimensional dynamical system of equations is Darboux integrable if and only if its characteristic Lie algebra is finite-dimensional. The class of systems having a full set of fist and second order integrals is described.

New variable separation solutions of two-dimensional Burgers system

2011 ◽  
Vol 217 (22) ◽  
pp. 9189-9197 ◽  
Author(s):  
Yusuf Gurefe ◽  
Emine Misirli
Keyword(s):  
Two Dimensional ◽  
Variable Separation ◽  
Burgers System
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