EVENTI
- Venerdì 23 maggio 2025 , alle ore 16.00 , presso l’aula F1 del Dipartimento di Matematica e Fisica, la Prof.ssa Barbara Prinari, Department of Mathematics, University at Buffalo USA, terrà un seminario dal titolo:
Novel soliton and breather solutions of scalar and coupled Ablowitz-Ladik systems
In this talk we will present novel soliton and breather solutions of scalar and coupled Ablowitz-Ladik systems. In the first part, we will discuss solutions of the defocusing Ablowitz–Ladik lattice on an arbitrarily large background which are discrete analogs of the Kuznetsov–Ma (KM) breathers of the focusing nonlinear Schrödinger equation. We will discuss the conditions on the background and on the spectral parameters that guarantee the KM solution to be non-singular on the lattice for all times. Furthermore, we will present a novel KM-type breather solution which is also regular on the lattice under the same conditions. In the second part of the talk, we will present novel breather solutions of an integrable discretization of the Manakov system (a coupled Ablowitz-Ladik system) and discuss their unexpected interaction properties.
Ref. Prof. L. Martina