2003/03/24 by Jianke Yang, Yang, Jianke, T. R. Akylas +2
Physics and Astronomy · #Advanced Fiber Laser Technologies #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #nlin.PS
paper · pdf · doi:10.48550/arxiv.nlin/0303058
To appear in Stud. Appl. Math
arxiv created 2003/03/24 · arxiv updated 2009/11/30
The nonlinear Schroedinger equation with a third-order dispersive term is considered. Infinite families of embedded solitons, parameterized by the propagation velocity, are found through a gauge transformation. By applying this transformation, an embedded soliton can acquire any velocity above a certain threshold value. It is also shown that all these families of embedded solitons are linearly stable, but nonlinearly semi-stable.