Abstract
The exact solutions for two color, Manakov vector solitons in strongly nonlocal media are obtained. For such solitons to exist, the ratio of the square of the beam widths must be inversely proportional to the ratio of the wave numbers. The sum of the incident powers must also be equal to a critical value. The evolution of the beam widths is also discussed when the two-color, Manakov vector solitons undergo periodic oscillations.
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