［Purposes］The traveling wave solution of nonlinear dispersive wave K(2,2) equation is studied. ［Methods］Traveling wave transform are used here. ［Results］Various exact traveling wave solutions of these nonlinear dispersive wave K(2,2) equations, and the dynamic properties of these solutions are discussed, and the dynamic behavior and dynamic evolution of some exact solutions are visually demonstrated by image simulation. ［Conclusions］It is found that some of the solutions have singular properties. Compared with the results in the existing literature, the exact solutions obtained are new results, and the solving methods and techniques are much simpler than those in the previous literature.