Dynamics of two-dimensional discrete structures is studied in the framework of the generalized two-dimensional discrete nonlinear Schrodinger equation. The nonlinear coupling in the form of the Ablowitz-Ladik nonlinearity is taken into account. Stability properties of the stationary solutions are examined. The importance of the existence of stable immobile solitons in the two-dimensional dynamics of the travelling pulses is demonstrated. The process of forming narrow states from initially broad standing or moving excitations through the quasi-collapse mechanism is analyzed. The typical scenario of the two-dimensional quasi-collapse of a moving intense pulse is the formation of pinned narrow spikes.
|Publication status||Published - 1996|
|Event||International Conference on Complex Dynamics in Spatially Extended Systems - Niels Bohr Instituttet, Copenhagen, Denmark|
Duration: 26 Sep 1995 → 29 Sep 1995
|Conference||International Conference on Complex Dynamics in Spatially Extended Systems|
|Location||Niels Bohr Instituttet|
|Period||26/09/1995 → 29/09/1995|
|Sponsor||Niels Bohr Institute, Technical University of Denmark|