  Most of previously reported dark-bright solitons admit identical width for
the two components in both theoretical and experimental studies. We report
dark-bright solitons can admit strikingly different widths, and derive a family
of analytical solutions for them by Lagrangian variational method. The
existence regimes for these solitons become much more widespread in the space
of nonlinear parameters, than the ones for the previously known dark-bright
solitons with identical width. Our analysis indicates that the effective
quantum wells are quite different in the two components, in sharp contrast to
the ones for all previously known vector solitons. Especially, the particle
number of bright soliton can be used to control the generation of dark-bright
solitons with varied ratios of solitons' widths. Based on the current
experimental technologies, we propose an experimental scheme for observing
these novel dark-bright solitons. The results suggest that abundant vector
solitons with difference widths exist in multi-components coupled systems, and
would inspire experiments to observe them in nonlinear optical fibers,
Bose-Einstein condensates, and other nonlinear coupled systems.
