Nonlinear Sciences – Pattern Formation and Solitons
Scientific paper
2006-02-25
Nonlinear Sciences
Pattern Formation and Solitons
14 pages, 9 figures, Physical Review E, in press
Scientific paper
10.1103/PhysRevE.73.036615
We study families of solitons in a two-dimensional (2D) model of the light transmission through a photorefractive medium equipped with a (quasi-)one-dimensional photonic lattice. The soliton families are bounded from below by finite minimum values of the peak and total power. Narrow solitons have a single maximum, while broader ones feature side lobes. Stability of the solitons is checked by direct simulations. The solitons can be set in motion across the lattice (actually, made tilted in the spatial domain), provided that the respective boost parameter does not exceed a critical value. Collisions between moving solitons are studied too. Collisions destroy the solitons, unless their velocities are sufficiently small. In the latter case, the colliding solitons merge into a single stable pulse.
Malomed Boris A.
Mayteevarunyoo Thawatchai
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