1 Department of Informatics and Mathematical Modeling, Technical University of Denmark2 Department of Mathematics, Technical University of Denmark3 Risø National Laboratory for Sustainable Energy, Technical University of Denmark4 Plasma Physics and Technology Programme, Risø National Laboratory for Sustainable Energy, Technical University of Denmark5 Department of Applied Mathematics and Computer Science, Technical University of Denmark6 Department of Physics, Technical University of Denmark
The 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 and point impurities is taken into account. The stability properties of the stationary solutions are examined. The essential importance of the existence of stable immobile solitons in the two-dimensional dynamics of the traveling pulses is demonstrated. The typical scenario of the two-dimensional quasicollapse of a moving intense pulse represents the formation of standing trapped narrow spikes. The influence of the point impurities on this dynamics is also investigated.
Physical Review B Condensed Matter, 1996, Vol 54, Issue 2, p. 900-912