Year: 2025
Type: article
Abstract: We consider a variable coefficient Burgers system in two spatial variables. A similarity mapping is used to reduce the number of independent variables. Lie symmetry analysis is applied to the reduced system. We present the equivalence groups for this system and the complete Lie group classification. Lie symmetries are employed to reduce the system into ordinary differential equations. In certain cases, we derive exact solutions. A special case of the system admits a hidden symmetry. Furthermore, a differential substitution is applied to this special system that enables us to construct additional exact solutions.
Source: Symmetry
DOI: 10.3390/sym17050763
Authors: Christodoulos Sophocleous, Rita Tracinà
Institutions: University of Cyprus, University of Catania
Language: English
Topic: Nonlinear Waves and Solitons
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $2,896
Award: G5245466801
OpenAlex ID: W4410360446