Lie group analysis of two-dimensional variable-coefficient Burgers equation

2010 ◽  
Vol 61 (5) ◽  
pp. 793-809 ◽  
Author(s):  
N. M. Ivanova ◽  
C. Sophocleous ◽  
R. Tracinà
Keyword(s):  
Lie Group ◽  
Variable Coefficient ◽  
Burgers Equation ◽  
Group Analysis ◽  
Two Dimensional ◽  
Lie Group Analysis ◽  
Dimensional Variable

scholarly journals Exact Solutions and Conservation Laws of a (2+1)-Dimensional Nonlinear KP-BBM Equation

2013 ◽  
Vol 2013 ◽  
pp. 1-5 ◽  
Author(s):  
Khadijo Rashid Adem ◽  
Chaudry Masood Khalique
Keyword(s):  
Conservation Laws ◽  
Exact Solutions ◽  
Solitary Waves ◽  
Lie Group ◽  
Group Analysis ◽  
Equation Method ◽  
Two Dimensional ◽  
Lie Group Analysis ◽  
Simplest Equation Method ◽  
Bbm Equation

In this paper, we study the two-dimensional nonlinear Kadomtsov-Petviashivilli-Benjamin-Bona-Mahony (KP-BBM) equation. This equation is the Benjamin-Bona-Mahony equation formulated in the KP sense. We first obtain exact solutions of this equation using the Lie group analysis and the simplest equation method. The solutions obtained are solitary waves. In addition, the conservation laws for the KP-BBM equation are constructed by using the multiplier method.

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