Precisely controllable bright nonautonomous solitons in Bose–Einstein condensate

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 form to observe the collision of solitons conveniently.

► We obtain analytically some interesting soliton solutions in BECs.
► Soliton manipulation has been discussed theoretically.
► We present a two-soliton solution to observe the interaction between the solitons.