Dynamics of solitons and quasisolitons of the cubic third-order nonlinear Schrodinger equation - art. no. 026614

The dynamics of soliton and quasisoliton solutions of the cubic third-order nonlinear Schrodinger equation is studied. Regular solitons exist due to a balance between the nonlinear terms and (linear) third-order dispersion; t hey are not important at small alpha (3) (alpha (3) is the coefficient in t he third derivative term) and vanish at alpha3 -->0. The most essential, at small alpha (3), is a quasisoliton emitting resonant radiation (resonantly radiating soliton). Its relationship with the other (steady) quasisoliton, called embedded soliton, is studied analytically and also in numerical exp eriments. It is demonstrated that the resonantly radiating solitons emerge in the course of nonlinear evolution, which shows their physical significan ce.