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

• Solutions of the nonlinear Schrodinger equation for initial conditions in the form of two separated sech-shaped in-phase pulsed,; 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 solitons, 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.

Ämnesord

NATURVETENSKAP  -- Fysik -- Annan fysik (hsv//swe)

NATURAL SCIENCES  -- Physical Sciences -- Other Physics Topics (hsv//eng)

Nyckelord

zakhariv-shabat

variational methods

eigenvalue problem

Matematik och teoretisk fysik

Publikations- och innehållstyp

ref (ämneskategori)

kon (ämneskategori)