Painlevé integrability and multi-dromion solutions of the 2+1 dimensional AKNS system

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The Painlevé integrability of the 2+1 dimensional AKNS system is proved. Using the standard truncated Painlevé expansion which corresponds to a special Bäcklund transformation, some special types of the localized excitations like the solitoff solutions, multi-dromion solutions and multi-ring soliton solutions are obtained.

Received 31 January 2001 and Received in final form 15 May 2001