Nonlinear Sciences – Pattern Formation and Solitons
Scientific paper
2011-07-03
Nonlinear Sciences
Pattern Formation and Solitons
13 pages, 8 figures
Scientific paper
We consider the undamped nonlinear Schr\"odinger equation driven by a periodic external force. Classes of travelling solitons and multisoliton complexes are obtained by the numerical continuation in the parameter space. Two previously known stationary solitons and two newly found localised solutions are used as the starting points for the continuation. We show that there are two families of stable solitons: one family is stable for sufficiently low velocities while solitons from the second family stabilise when travelling faster than a certain critical speed. The stable solitons of the former family can also form stably travelling bound states.
Barashenkov Igor V.
Zemlyanaya E. V.
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