Symmetry and Integrability of Equations of Mathematical Physics − 2011

Vsevolod Vladimirov (AGH University of Science and Technology, Krakow, Poland)

Nonlinear evolutionary models: dynamics and stability of some kinds of invariant solutions

I am going to discuss stability properties of kink-like and soliton-like solutions of some evolutionary PDEs, including generalized Burgers equation and non-local hydrodynamic-type model. The latter is shown to possess a one-parameter family of localized solutions, demonstrating soliton properties.