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摘要
Based on the Darboux-Backlund transformation, we construct the exact solutions and their derivatives expressed in theta functions under the backgrounds of the librational and rotational waves. The multi elliptic-localized solutions, including the multi elliptic-kink solutions, multi elliptic-breather solutions, and multi elliptic-kink-breather solutions, are expressed in Pfaffian form. Furthermore, the asymptotic analysis of the multi elliptic-localized solutions is provided with the aid of theories of theta functions.
