A Kerr-lens mode-locked Ti:sapphire laser operating in a non-soliton regime is demonstrated. Dispersive wave generation is observed as a result of third order dispersion in the vicinity of zero dispersion. The characteristics of the Ti:sapphire laser operating in a positive dispersion regime are presented, where the oscillator directly generates pulses with duration continuously tunable from 0.37 ps to 2.11 ps, and 36 fs pulses are achieved after extracavity compression. The oscillation is numerically simulated with an extended nonlinear Schrdinger equation, and the simulation results are in good agreement with the experimental results. A Kerr-lens mode-locked Ti: sapphire laser operating in a non-soliton regime is demonstrated. Dispersive wave generation is observed as a result of the third order dispersion in the vicinity of zero dispersion. The characteristics of the Ti: sapphire laser operating in a positive dispersion regime are presented, where the oscillator directly generates pulses with duration continuously tunable from 0.37 ps to 2.11 ps, and 36 fs pulses are achieved after extracavity compression. The oscillation is numerically simulated with an extended nonlinear Schrödinger equation, and the simulation results are in good agreement with the experimental results.