For a conventional soliton, it is a balance between only the dispersion and nonlinearity. Differing from a conventional soliton, a Vector dissipative soliton is strongly frequency chirped. It is unknown whether or not a phase-locked gain-guided vector soliton could be formed in a fiber laser: either the polarization-rotating or the phase-locked dissipative vector soliton can be formed in a fiber laser with large net normal cavity group velocity dispersion. In addition, multiple vector dissipative solitons with identical soliton parameters and harmonic mode-locking to the conventional dissipative vector soliton can also be formed in a passively mode-locked fiber laser with a SESAM. Multiwavelength dissipative soliton Recently, multiwavelength dissipative soliton in an all normal dispersion fiber laser passively mode-locked with a SESAM has been generated. It is found that depending on the cavity birefringence, stable single-, dual- and triple-wavelength dissipative soliton can be formed in the laser. Its generation mechanism can be traced back to the nature of dissipative soliton. Polarization rotation of vector soliton In scalar solitons, the output polarization is always linear due to the existence of an in-cavity polarizer. But for vector solitons, the polarization state can be rotating arbitrarily but still locked to the cavity round-trip time or an integer multiple thereof. Higher-order vector soliton In higher-order vector solitons, not only are the two orthogonally polarized soliton components phase-locked, but also one of the components has a double-humped intensity profile. Multiple such phase-locked high-order vector solitons with identical soliton parameters and harmonic mode-locking of the vector solitons have also been obtained in lasers. Numerical simulations confirmed the existence of stable high-order vector solitons in fiber lasers. Optical domain wall soliton Recently, a phase-locked dark-dark vector soliton was only observed in fiber lasers of positive dispersion, a phase-locked dark-bright vector soliton was obtained in fiber lasers of either positive or negative dispersion. Numerical simulations confirmed the experimental observations, and further showed that the observed vector solitons are the two types of phase-locked polarization domain-wall solitons theoretically predicted. Vector soliton fiber laser with atomic layer graphene Except the conventional semiconductor saturable absorber mirrors (SESAMs), which use III–V semiconductor multiple quantum wells grown on distributed Bragg reflectors (DBRs), many researchers have turned their attention onto other materials as saturable absorbers. Especially because there are a number of drawbacks associated with SESAMs. For example, SESAMs require complex and costly clean-room-based fabrication systems such as Metal-Organic Chemical Vapor Deposition (MOCVD) or Molecular Beam