Nonlinear Sciences – Pattern Formation and Solitons
Scientific paper
2006-01-24
Nonlinear Sciences
Pattern Formation and Solitons
14 pages, 6 figures, accepted to PRE, Rapid Communications
Scientific paper
10.1103/PhysRevE.73.025601
We demonstrate the existence of stable three-dimensional spatiotemporal solitons (STSs) in media with a nonlocal cubic nonlinearity. Fundamental (nonspinning) STSs forming one-parameter families are stable if their propagation constant exceeds a certain critical value, that is inversely proportional to the range of nonlocality of nonlinear response. All spinning three-dimensional STSs are found to be unstable.
Crasovan Lucian-Cornel
Kartashov Yaroslav V.
Lederer Falk
Malomed Boris A.
Mazilu Dan
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