Solitons and soliton interactions in repulsive spinor Bose–Einstein condensates with nonzero background

Bright matter-wave bound soliton molecules in spin-1 Bose–Einstein condensates with non-autonomous nonlinearities

“…Though adequate results on the dynamics of soliton propagation and their interactions are available, their complete behaviour under various controllable physical settings requires further exploration and continues to be an important aspect of the study. To mention a few significant studies along this direction are dark-anti-dark spinor solitons [20,21], dark-dark soliton breathing patterns [22], soliton interactions on nonzero background [23], bright-dark solitons [24][25][26], and several other types of nonlinear waves such as breather and rogue waves [27], that are obtained through inverse scattering transformation, Hirota bilinear procedure, KP-hierarchy reduction method, Darboux and Bäcklund transformation techniques, etc. In particular, as a branch of soliton interactions, the nature of soliton molecule (SM) generation and their dynamics is of current importance in different nonlinear systems arising from optics to hydrodynamics [28,29].…”