Seminar talk, 13 April 2011

Speaker: Alexey Samokhin

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

Abstract:
The talk will discuss the paper [*] about $2+1$ generalization of the Burgers equation

$u_{t}=A(t)u_{xx}+B(t)u_{yy}+uu_{x}$,

where $A$ and $B$ are some fixed functions. The point symmetries group classification of $(A,B)$ is performed, invariant solutions are found, an example of the antireduction is given, differential invariants and conservation laws are found.

References:
[*] Ivanova N.M., Sophocleous C., and Tracinà R. Lie group analysis of two-dimensional variable-coefficient Burgers equation, Z. Angew. Math. Phys. 61 (2010) 793-809, doi:10.1007/s00033-009-0053-8, pdf