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Collisions between bright solitary waves in the 1D Gross-Pitaevskii equationwith a harmonic potential, which models a trapped atomic Bose-Einsteincondensate, are investigated theoretically. A particle analogy for the solitarywaves is formulated, which is shown to be integrable for a two-particle system.The extension to three particles is shown to support chaotic regimes. Goodagreement is found between the particle model and simulations of the full wavedynamics, suggesting that the dynamics can be described in terms of solitonsboth in regular and chaotic regimes, thus presenting a paradigm for chaos inwave-mechanics.Comment: 4 pages, 3 figures, content changed in response to referee comments,  references adde

Bright Matter-Wave Soliton Collisions in a Harmonic Trap: Regular and Chaotic Dynamics