2025/12/07 by Wang, Yu-Hao, Duan, Liang, Qin, Yan-Hong +1
Physics and Astronomy · #Nonlinear Photonic Systems #Dust and Plasma Wave Phenomena #Nonlinear Waves and Solitons
paper · doi:10.48550/arxiv.2512.06667
Our study on nondegenerate dark-bright-bright solitons in a three-component Manakov model with repulsive interactions reveals the existence of diverse branches of nondegenerate vector solitons. For fixed bright component particle numbers and a given soliton velocity, the nondegenerate dark-bright-bright solitons exhibit four distinct branches with different density profiles and phase distributions, comprising two positive mass branches and two negative mass branches. The energy-velocity dispersion relation of each pair of positive- and one negative-mass branches form a closed loop, resulting in two mutually independent loops for the soliton's overall dispersion. All soliton branches share a common maximal velocity, which is determined by the larger bright soliton particle number. Linear stability analysis shows that all these branches are stable against weak perturbations. Extending to an N-component Manakov system, the nondegenerate solitons have 2N-1 distinct branches, of which 2N-2 branches solitons is positive mass and 2N-2 branches solitons is negative mass. Each pair of positive- and negative-mass branches form a closed dispersion relation loop, so that the vector solitons have 2N-2 disjoint loops. These results uncover the rich branches and interesting dispersion relations of nondegenerate vector solitons in multi-component models.