Nonlinear Schrödinger Solitons with non-zero velocities emerging from real symmetric initial conditions

Other conference contribution, 2008

Solutions of the nonlinear Schrodinger equation for initial conditions in the form of two separated sech-shaped in-phase pulses are analyzed. It is found that this initial condition, with appropriate amplitude, may give rise to, not only stationary solitons, but also to symmetrically separating soli- tons, if the initial distance of separation is large enough. The condition for the generation of a separating soliton pair is derived from the Zakharov-Shabat eigenvalue problem using a variational approach.