Numerical studies of stabilized Townes solitons

Details Numerical studies of stabilized Townes solitons Numerical studies of stabilized Townes solitons

2003-12-09

arxiv.org/abs/nlin/0312020v1

Nonlinear Sciences

Pattern Formation and Solitons

12 pages, 7 figures

Scientific paper

We study numerically stabilized solutions of the two-dimensional Schrodinger equation with a cubic nonlinearity. We discuss in detail the numerical scheme used and explain why choosing the right numerical strategy is very important to avoid misleading results. We show that stabilized solutions are Townes solitons, a fact which had only been conjectured previously. Also we make a systematic study of the parameter regions in which these structures exist.

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