Formation of fundamental solitons in the two-dimensional nonlinear Schrodinger equation with a lattice potential
Publication Date
2010
Journal or Book Title
EUROPEAN PHYSICAL JOURNAL D
Abstract
We consider self-trapping of 2D solitons in the model based on the Gross-Pitaevskii/nonlinear Schrödinger equation with the self-attractive cubic nonlinearity and a periodic potential of the optical-lattice (OL) type. It is known that this model may suppress the collapse, giving rise to a family of stable fundamental solitons. Here, we report essential dynamical features of self-trapping of the fundamental solitons from input configurations of two types, with vorticity 0 or 1. We identify regions in the respective parameter spaces corresponding to the formation of the soliton, collapse, and decay. A noteworthy result is the self-trapping of stable fundamental solitons in cases when the input norm essentially exceeds the collapse threshold. We also compare predictions of the dynamical variational approximation with direct numerical simulations.
Pages
141-146
Volume
58
Issue
1
Recommended Citation
Chen, QY; Kevrekidis, PG; and Malomed, BA, "Formation of fundamental solitons in the two-dimensional nonlinear Schrodinger equation with a lattice potential" (2010). EUROPEAN PHYSICAL JOURNAL D. 27.
Retrieved from https://scholarworks.umass.edu/math_faculty_pubs/27
Comments
The published version is located at http://www.springerlink.com/content/fj084k762x5363n8/