Abstract

ESPINOSA-CERON, A.; FUJIOKA, J.  and  GOMEZ-RODRIGUEZ, A.. Existencia y perturbación de solitones "embebidos", gobernados por una extensión de la ecuación NLS. Rev. mex. fis. [online]. 2003, vol.49, n.6, pp.493-505. ISSN 0035-001X.

We determine the conditions for the existence of "embedded solitons" (ES), and conventional bright and dark pulses, in an extension of the cubic nonlinear Schrodinger (NLS) equation with higher-order dispersive and nonlinear terms. The stability of these SE is studied numerically, and it is found that these solitons are semi-stable. The damped oscillatory behavior of the perturbed SE is then analyzed by a variational method, and it is shown that this damping is a consequence of the emission of radiation. Finally, it is shown that the uniqueness of these SE is due to a delicate balance between nonlinearity and dispersion.

Keywords : Solitons; nonlinear Schrödinger equation; variational methods; radiation.