Figure 1

(a) Scheme of a dynamical trap with the BEC between oscillating barriers B. (b)–(f) Profiles of amplitudes $A_n\left(x\right)$ [solid (red) curves] and $A_m\left(x\right)$ [dotted (blue) curves]: (b) and (c) antiphase soliton pairs $A_n\left(x\right)=-A_m\left(x\right)$ and (d) and (f) in-phase pairs $A_n\left(x\right)=A_m\left(x\right)$, with (b) $\delta \omega =0$ and $\delta {\omega }_0=1.02$, (c) $\delta \omega =0$ and $\delta {\omega }_0=10$, (d) $\delta \omega =0$ and $\delta {\omega }_0=1.02$, (e) $\delta \omega =0.5$ and $\delta {\omega }_0=2$, and (f) $\delta \omega =0$ and $\delta {\omega }_0=0.98$; $s=-1$ and $\nu =-1$.