Bright and dark soliton solutions to the AB system and its multi-component generalization

Abstract The determinant structures to the AB system are derived by using Hirota method and reduction technique from Sato theory. N-bright soliton solutions to the focusing and N − dark soliton solutions to the defocusing AB system are provided respectively. A multi-component AB system is proposed and shown to be integrable with Lax pairs. Solutions to the multi-component system are presented in terms of Pfaffians.

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