DOI: 10.1063/5.0165161 ISSN: 0022-2488
Exact solutions of Burgers equation with moving boundary
Eugenia N. Petropoulou, Mohammad Ferdows, Efstratios E. Tzirtzilakis- Mathematical Physics
- Statistical and Nonlinear Physics
In this paper, new symmetry reductions and similarity solutions for Burgers equation with moving boundary are obtained by means of Lie’s method of infinitesimal transformation groups, for a linearly moving boundary as well as a parabolically moving boundary. By using discrete symmetries, new analytical solutions for the problem under consideration are presented, for two cases of the moving boundary: one moving with constant velocity and another one rapidly oscillating.