| Abstract: |
| The 4th order (or bi-harmonic) NLS equation has recently been attracting attention of scientists as the experimental quartic solitons, aka light bullets, have been obtained. We discuss solutions to this equation, examining more carefully the ground states in one- and two-dimensional settings. We look at the soliton dynamics, including stability, branching and long-time behavior. This talk is based on joint works with Iryna Petrenko (FIU, Miami) and Christian Klein & Nikola Stoilov (IMB, Dijon). |
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