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.

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Cited by in corpus (5)

• OpenMP GNU and Intel Fortran programs for solving the time-dependent Gross-Pitaevskii equation
• Observation of photon droplets and their dynamics
• Dynamics of vortex-antivortex pairs and rarefaction pulses in liquid light
• Elastic collision and breather formation of spatiotemporal vortex light bullets in a cubic-quintic nonlinear medium
• Symmetry breaking, Josephson oscillation and self-trapping in a self-bound three-dimensional quantum ball