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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
Abstract:
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.
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