Title: Elastic collision and molecule formation of spatiotemporal light bullets in a cubic-quintic nonlinear medium,
Abstract: We consider the statics and dynamics of a stable, mobile three-dimensional
(3D) spatiotemporal light bullet in a cubic-quintic nonlinear medium with a
focusing cubic nonlinearity above a critical value and any defocusing quintic
nonlinearity. The 3D light bullet can propagate with a constant velocity in any
direction. Stability of the light bullet under a small perturbation is
established numerically.We consider frontal collision between two light bullets
with different relative velocities. At large velocities the collision is
elastic with the bullets emerge after collision with practically no distortion.
At small velocities two bullets coalesce to form a bullet molecule. At a small
range of intermediate velocities the localized bullets could form a single
entity which expands indefinitely leading to a destruction of the bullets after
collision. The present study is based on an analytic Lagrange variational
approximation and a full numerical solution of the 3D nonlinear Schrödinger
equation.