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We hereby work on the generalized three-coupled Gross–Pitaevskii equations by means of the Darboux transformation and Hirota’s method. By modulating the external trap potential, atom gain or loss, and coupling coefficients, we can obtain several nonautonomous matter-wave solitons including dark–dark–dark and bright–bright–bright shapes. Propagation and interaction behaviors of the nonautonomous vector...
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