Embedded solitons in the third-order nonlinear Schr\"{o}dinger equation
  We derive a straightforward variational method to construct embedded soliton solutions of the third-order nonlinear Sch\"odinger equation and analytically demonstrate that these solitons exist as a continuous family. We argue that a particular embedded soliton when perturbed may always relax to the adjacent one so as to make it fully stable. 
Debabrata Pal, Sk. Golam Ali and B. Talukdar