Continuous Families of Embedded Solitons in the Third‐Order Nonlinear Schrödinger Equation

The nonlinear Schrödinger 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 these families of embedded solitons are linearly stable, but nonlinearly semi‐stable.