Exact dark-bright solitons exist in the integrable limit without spin-orbit coupling; finite couplings break integrability and produce spatial separation, density oscillations, and robust breathers in binary BECs.
The left two columns correspond to the trapped system, while the right two columns represent the trap-free case
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Stability and dynamics of dark-bright solitons in spin-orbit- and Rabi-coupled binary Bose-Einstein condensates
Exact dark-bright solitons exist in the integrable limit without spin-orbit coupling; finite couplings break integrability and produce spatial separation, density oscillations, and robust breathers in binary BECs.