The modern group analysis of differential equations is used to study a class of two-dimensional variable coefficient Burgers equations. The group classification of this class is performed. Equivalence transformations are also found that allow us to simplify the results of classification and to construct the basis of differential invariants and operators of invariant differentiation. Using equivalence transformations, reductions with respect to Lie symmetry operators and certain non-Lie ansatze, we construct exact analytical solutions for specific forms of the arbitrary elements. Finally, we classify the local conservation laws.
|Titolo:||Lie group analysis of two-dimensional variable-coefficient Burgers equation|
|Autori interni:||TRACINA', RITA|
|Data di pubblicazione:||2010|
|Rivista:||ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK|
|Appare nelle tipologie:||1.1 Articolo in rivista|