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We present Lax-pair corresponding to the coupled Gross–Pitaevskii equation (CGPE) which governs the evolution of the macroscopic wave function of two components Bose–Einstein condensates trapped in time-dependent harmonic potential. Kinds of soliton solutions can be derived from the Lax-pair through Darboux transformation conveniently. Furthermore, soliton management in two-component Bose–Einstein...
We study on bright nonautonomous solitons of Bose–Einstein condensate analytically in a time-dependent harmonic trap with an arbitrary time-dependent linear potential and complex potential. The explicit ways to control dynamics of soliton are presented through observing the evolution of its width, peak, and the motion of its center analytically. Furthermore, we present two-solitons solution in generalized...
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