2011/07/03 by I. V. Barashenkov, Barashenkov, I. V., E. V. Zemlyanaya +1
Physics and Astronomy · #Advanced Fiber Laser Technologies #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Nonlinear Photonic Systems #Pattern Formation and Solitons (nlin.PS)
paper · pdf · doi:10.48550/arxiv.1107.0483
openalex publication_date 2011/07/03 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28
We consider the undamped nonlinear Schrödinger 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.