Soliton theory of two-dimensional lattices: the discrete nonlinear schrödinger equation.
We theoretically investigate the motion of collective excitations in the two-dimensional nonlinear Schrödinger equation with cubic nonlinearity. The form of these excitations for a broad range of parameters is derived. Their evolution and interaction is numerically studied and the modulation instability is discussed. The case of saturable nonlinearity is revisited.
Arévalo
Edward
E
Technische Universität Darmstadt, Institut für Theorie elektromagnetischer Felder, TEMF, Schlossgartenstrasse 8 D-64289 Darmstadt, Germany.