Nonlinear Waves Seminar - Igor Rumanov
| Event Description: Igor Rumanov, Department of Applied Mathematics, University of ÃÛÌÇÖ±²¥ Boulder A universal asymptotic regime in (2+1)-D hyperbolic nonlinear Schroedinger equation. Using numerical computations and analytical considerations based on similarity solutions, we demonstrate the appearance of a certain long-time regime in the (2+1)-dimensional hyperbolic nonlinear Schroedinger equation (HNLS). This regime is common for a wide range of initial conditions, essentially for every initial lump of small or moderate energy. Even relatively large initial amplitudes which imply strong nonlinear effects still lead to asymptotics resembling those of the similar solution to the corresponding linear equation. One could conjecture that this regime is a universal attractor, and it should appear eventually also for initial conditions of larger energy, however, at still larger times. This recognition may help selecting the appropriate transient regimes by the requirement of their eventual convergence to the stated asymptotics. |
| Location Information: ÌýÌý() 1111 Engineering DR Boulder, CO Room:Ìý226: Applied Math Conference Room |
| Contact Information: Name: Ian Cunningham Phone: 303-492-4668 Email: amassist@colorado.edu |